Some experts believe that 23% of all freshwater fish in a country have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 200 fish tested, and 48 of them have dangerous levels of mercury. Test the hypothesis that this sample is not from a population with 23% dangerous fish, assuming that this is a random sample. Use a significance level of 0.05. determine the z-test statistic, find the p-value, does the conclusion support or reject the null hypothesis

Answers

Answer 1

Solution

We have the proportion of the freshwater fish is

\(\begin{gathered} p_0=23\% \\ p_0=0.23 \end{gathered}\)

Now, from the sample we have the proportion

\(\begin{gathered} p=\frac{48}{200} \\ p=0.24 \end{gathered}\)

To test the hypothesis, we have

\(\begin{gathered} H_0\colon p_0=0.23 \\ H_1\colon p_0\ne0.23 \end{gathered}\)

We have

\(\alpha=0.05,n=200\)

The test statistics

\(z=\frac{p-p_0}{\sqrt[]{\frac{p_0(1-p_0)}{n}}}\)

Substituting the parameters, we obtain

\(\begin{gathered} z=\frac{p-p_0}{\sqrt[]{\frac{p_0(1-p_0)}{n}}} \\ z=\frac{0.24-0.23}{\sqrt[]{\frac{0.23(1-0.23)}{200}}} \\ z=\frac{0.01}{\sqrt[]{\frac{0.23\times0.77}{200}}} \\ z=0.3360514064 \end{gathered}\)

Therefore, the test statistics is

\(z=0.336\text{ (to thr}ee\text{ decimal places)}\)

To find the P - value

Using the table, the p - value for the z score of 0.336 is

\(\begin{gathered} p-value=0.736871 \\ p-value=0.7369\text{ (to four decimal places)} \end{gathered}\)

Notice that

\(p-value=0.7369>0.05=\alpha\)

Therefore, since the p -value is greater than the level of significance, we fail to reject the null hypothesis, That is we support the null hypothesis


Related Questions

Create a data set such that the median is 19 the mode is 24 the mean is 25

Answers

Answer:

-80, 4, 5, 6, 19, 24, 24, 24, 24

Jose hopes to earn $600 in interest in 4.8 years time from $30,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be? Round to two decimal places.

Answer

Answers

The annual rate of interest have to be 3.87%.

How to determine the annual rate of interest?

Mathematically, compound interest can be calculated by using this formula:

A = P(1 + r/n)^{nt}

Where:

A represents the future value.P represents the principal.r represents the interest rate.n represents the number of times compounded.T represents the time measured in years.

Making the interest rate (r) the subject of formula, we have:

r = n[(A/P)^{1/nt} - 1]

Note: A = SI + P = 600 + 30,000 = $36,000

Substituting the given parameters into the formula, we have;

Interest rate, r = 1[(36,000/30,000)^{1/1 × 4.8} - 1]

Interest rate, r = [(1.2)^{0.20833333333} - 1]

Interest rate, r = [1.0387 - 1]

Interest rate, r = 0.0387

Interest rate, r = 3.87%.

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Question 5:
Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713

Answers

Following are the numbers correct to 3 significant figures

Answers to the following questions:

(1) Round to the needed significant figure: 37400;

(2) Round to the required significant figure: 84600;

(3) Round to the required significant figure: 261;

(4) Round to the needed significant figure: 0.00262

(5) Round to the required significant figure: 0.368

(6), round to the needed significant figure: 0.00257

What is meant by correct to significant figures?

The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.

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4.
Find the value of y when x = 2.
y = 3x + 2
XON
Y
2
2
a) 2
b) 6
c) 7
d) 8

4.Find the value of y when x = 2.y = 3x + 2XONY22a) 2b) 6c) 7d) 8

Answers

It would be d) 8
y= 3(2)+2
6+2
8

Which theorem or postulate justifies the statement below?
Angle 2 is congruent to angle 4.
A. Congruent Supplements Theorem
B. Linear Pairs Theorem
C. Angle Addition Postulate
D. Vertical Angles Theorem

Which theorem or postulate justifies the statement below?Angle 2 is congruent to angle 4. A. Congruent

Answers

Answer:

D. Vertical Angles Theorem

Step-by-step explanation:

Vertical angles theorem posits that when two straight line crosses each other, the two pairs of opposite angles which are vertical to each other are always congruent and are of equal measure.

In the diagram given, two straight line intersects at a point forming two pairs of opposite vertical angles, "angle 2 and angle 4", and "angle 1 and angle 3". These opposite vertical angles, according to the vertical angles theorem are congruent and has equal measures.

Answer:

D. Vertical Angles Theorem

Step-by-step explanation:

The conditional statement below is true. If possible, write the biconditional statement.

If 2x = 18, then x = 9.

Answers

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Existing research states that the proportion of households in a city owning a computer is 30%. However, a local politician believes that that number is wrong. He randomly selects 200 families and finds that 68 of them have computers. Please conduct a formal hypothesis test to verify if the politician’s claim is credible.
Select one:
a. H0: p = 0.3, HA: p ≠ 0.3, z = 1.23, p-value = 0.2187, so we conclude there is insufficient evidence for the politician’s claim and fail to reject the null hypothesis.
b. H0: p = 0.3, HA: p > 0.3, z = 1.23, p-value = 0.1093, so we conclude there is insufficient evidence for the politician’s claim and reject the null hypothesis.
c. H0: p = 0.3, HA: p < 0.3, z = 1.23, p-value = 0.8907, so we conclude that there is evidence for the politician’s claim and reject the null hypothesis.
d. H0: p = 0.3, HA: p ≠ 0.3, z = 1.23, p-value = 0.2187, so we conclude that there is evidence for the politician’s claim and reject the null hypothesis.

Answers

Answer:

\(z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{200}}}=1.23\)  

Now we can calculate the p value as:

\(p_v =2*P(z>1.23)=0.2187\)  

And the best conclusion would be:

a. H0: p = 0.3, HA: p ≠ 0.3, z = 1.23, p-value = 0.2187, so we conclude there is insufficient evidence for the politician’s claim and fail to reject the null hypothesis.

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=68 represent the number of families with computers

estimated proportion of families with computers

\(p_o=0.3\) is the value to verify

z would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to check if the true proportion is equal to 0.3 or not.:  

Null hypothesis:\(p=0.3\)  

Alternative hypothesis:\(p \neq 0.3\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing we got:

\(z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{200}}}=1.23\)  

Now we can calculate the p value as:

\(p_v =2*P(z>1.23)=0.2187\)  

And the best conclusion would be:

a. H0: p = 0.3, HA: p ≠ 0.3, z = 1.23, p-value = 0.2187, so we conclude there is insufficient evidence for the politician’s claim and fail to reject the null hypothesis.

distribute to simplify -0.8(-27 - 15u)​

Answers

waggakdnsndna, i don’t have answers

Please if ur good at pre calc stop to help with the first question please

Please if ur good at pre calc stop to help with the first question please

Answers

Answer:

Step-by-step explanation:

The first thing you ought to do is find out what you are trying to get. Desmos is an ideal program to do that if you don't have a graphing calculator. Just search for Desmos. It is pretty obvious once you get there.  I've enclosed the graph to show you what it looks like.

Notice what happens around 5.  The graph splits because effectively, you are dividing by 0 when you put 5 into the denominator. The question arises why doesn't the same thing happen at 0. It should: There is a discontinuity but it is very tiny. So the domain numbers that you should graph are

-1   0™  1   2   3   4   4.5    4.8   5.3    5.4  6 7

™I wouldn't make 0 a part of this domain.  But you can indicate with a dot where the graph goes.

I haven't filled in the range numbers. That's your job. All you have to do is fill in the table with points. Or you can put them on the graph that I have enclosed just to see where they points belong.

A graph is not to convey accuracy. It is to show the shape of function in question.

Please if ur good at pre calc stop to help with the first question please

2 3/4 of 500grams in step by step calculator

Answers

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

For Christmas you want to get your parents a framed family picture. At the framing store, there are 4 different styles each available in 5 different colors. You decide to use a blue mat board and there are 3 different shades of blue to choose from. How many different frames can you create?

Answers

The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

What is the combination?

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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Plssssss help--- Jordan bought 3 books and Felicia bought 5 books. They spent a total of $60. How much did each book cost if they were all the same price.

Answers

Step-by-step explanation:

$60÷8=$7.50

divide by 8 because 5+3=8

each book should of cost $7.50

Joey's strategy for his first marathon (26.2 miles)was to run 2 miles, walk 1 mile, run 2 miles, walk 1 mile, and continue this pattern until he completed the race. Joey's average running pace is 8 minutes per mile, and his average walking pace is 16 minutes per mile. How many minutes will it take Joey to complete the marathon

Answers

Answer:  275.2 minutes

========================================================

Explanation:

We have this sequence

(2+1)+(2+1)+(2+1)...

Effectively, we're repeating "2+1" over and over.

We can see that

2+1 = 3(2+1)+(2+1) = 3+3 = 6(2+1)+(2+1)+(2+1) = 3+3+3 = 9

Each time we add on another copy of (2+1), we're adding on 3

Dividing 26.2 over 3 gets us (26.2)/3 = 8.733 approximately

If we had 8 copies of (2+1) added together, then we would get

8*(2+1) = 8*3 = 24

This is 26.2-24 = 2.2 miles short of his goal.

He'll need to run 2 more miles, plus walk another 0.2 of a mile

----------------------------------------------------

In summary so far, Joey will run 8+1 = 9 sections (two miles each) and walk 8 sections that are 1 mile each. At the very end, he'll walk 0.2 miles to finish the race. Each running and walking section is alternated of course.

Since he runs 9 sections, each 2 miles, that accounts for 9*2 = 18 miles.

His running pace is 8 minutes per mile, so this means he has run for 8*18 = 144 minutes. This is just the running part and not the walking part.

Let A = 144 so we can use it later.

----------------------------------------------------

He walks 8 sections of 1 mile each. His walking pace is 16 minutes per mile. This must mean he spends 8*16 = 128 minutes on this walking portion.

Then for the last 0.2 mile section he walks, we can solve the proportion below

(1 mile)/(16 min) = (0.2 miles)/(x min)

1/16 = 0.2/x

1*x = 16*0.2

x = 3.2

He spends 3.2 minutes walking the remaining 0.2 of a mile at the end.

So his total walking time is 128+3.2 = 131.2 minutes.

Let B = 131.2

-----------------------------------------------------

To wrap things up, we'll add up the results of each of the previous two sections.

A = total running time = 144 min

B = total walking time = 131.2 min

C = total marathon time

C = A+B

C = 144+131.2

C = 275.2 minutes

This converts to 275 min, 12 sec.

This is also equivalent to 4 hrs, 35 min, 12 sec.

Question 6 of 10
When it comes to reimbursement packages, company A offers $225 plus
$0.55 per mile. Company B offers $250 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 175
O B. 225
O c. 325
O D. 250

Answers

Answer:

D

Step-by-step explanation:

Answer:

O D. 250

Step-by-step explanation:

The distance from Earth to the sun is about 1.47 X 10^11 meters. The distance from Earth to the moon is 3.71 X 10^8 meters. The distance from Earth to the sun is about how many times larger than the distance from the Earth to the moon? Round your answer to the nearest whole number!

Answers

The distance from Earth to the Sun is 396 times larger than the distance from the Earth to the moon.

Scientific notation.

This is a mode of expressing large numbers of great power. Its helps in the simple expression of numbers so that some arithmetic operations can be performed as required.

In the given question, we have;

distance from Earth to the Sun = 1.47 X 10^11 meters

and

distance from Earth to moon = 3.71 X 10^8 meters

Thus,

to determine by how much is the distance between the Earth and Sun greater than that between the Earth and moon;

n = distance from Earth to the Sun/ distance from the Earth to the moon

  = 1.47 X 10^11/ 3.71 X 10^8

  = 3.962 x 10^2

n = 396

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LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)

LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.

Giving brainliest

Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with

Answers

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Please anyone help me on this

Please anyone help me on this

Answers

Answer:

You see where the line is at its highest you can read that point and the the points in the middle and the one at the bottom for the end and you can have your equation by seeing the points located and doing it.

Step-by-step explanation:

Thanks and your welcome! Have a great week! Hope i helped! Plz tell me if i helped! Hope you get 100%!

Which choice is equivalent to the quotient below? √14/2√2 A.√7/2 B.√7/√2 C.√7 D.√7/4​

Which choice is equivalent to the quotient below? 14/22 A.7/2 B.7/2 C.7 D.7/4

Answers

Find the slope of the line.

Answers

The rule of the slope of a line is

\(m=\frac{y2-y1}{x2-x1}\)

(x1, y1) and (x2, y2) are 2 points on the line

Since th

The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 ft squared. find the dimensions of the rectangle

Answers

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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The HCF of three numbers is 8 and the sum of these numbers is 80. List the possible set of such three numbers.

Answers

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

(8, 16, 56): In this case, A = 8, B = 16, and C = 56. All three numbers are divisible by 8, and their sum is 8 + 16 + 56 = 80.(16, 8, 56): Here, A = 16, B = 8, and C = 56. Again, all three numbers are divisible by 8, and their sum is 16 + 8 + 56 = 80.(24, 8, 48): In this combination, A = 24, B = 8, and C = 48. All three numbers are divisible by 8, and their sum is 24 + 8 + 48 = 80.(8, 24, 48): Similarly, A = 8, B = 24, and C = 48. All three numbers are divisible by 8, and their sum is 8 + 24 + 48 = 80.

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

Find the number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip.

Answers

Answer:

186.

Step-by-step explanation:

By multiplying six by thirty one, you'll get every single way the instructor can choose six students from a class of thirty one students for a field trip.

The number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip is 186.

We have a number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

By multiplying six by thirty-one, you'll get every single way the instructor can choose six students from a class of thirty-one students for a field trip.

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Use the ALEKS calculator to evaluate each expression.
Round your answers to the nearest thousandth.
Do not round any intermediate computations.
log√7 =
Log 23/6=

Answers

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

Logarithmic evaluationLog√7 = 1.659Log 23/6 = 0.862It is a rapid increase in the quantity of something over a period of time. Exponential growth can be seen in populations, investments, and other areas.It is characterized by a doubling or tripling of the original amount within a specified period of time.This type of growth is often caused by compounding, where gains from one period are reinvested in the next period, leading to a rapid increase in the overall amount.Exponential growth is often seen in the early stage of a business, when it is experiencing rapid growth due to investments or other factors.However, exponential growth can also lead to rapid decline if not managed properly.This is called logarithmic evaluation, which involves using logarithms to simplify complex expressions.

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Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.


Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40


Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)

Part B: Based on your answer in part A, which location offers a better deal? Explain

Answers

Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

How to determine the unit price of the item at each location?

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

Farmer's Market

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Which of the following illustrates the truth value of the given statements?
January is the first month of the year or December is the last month of the year.
OFF-F
OTT-T
OFT - T
OTF-T

Answers

Answer:oft-t

Step-by-step explanation:

You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and then select a second ones find p(blue, then black).

If you do not replace the first marble in the previous question before you select the 2nd one, find p(red, then red)

Show your work!!

Answers

Answer:

First question:0

Second question:2/15

Step-by-step explanation:

First:

Total of marbles=10

since there is no blue the probability is 0, since black is 3. then prob= number of black/total number of marbles. =3/10

therefore 0*3/10 =0

second:

probability of red is 4/10

since the first marble wasn't returned,the total number of marbles=9

therefore probability if the second red marble is =3/9 =1/3

probability of first marble *probability of second marble

(4/10)*(1/3) =(4/30)= 2/15

area of a triangle is 14x^5 + 63x^2. If the base is 7x^2, write an expression to represent the height ( x^2 means x square)

Answers

Answer:

\(h=4x^3+18\)

Step-by-step explanation:

Given that,

The area of a triangle, \(A=14x^5 + 63x^2\)

Base, \(b=7x^2\)

We need to find the height of the triangle.

The formula for the area of the triangle is given by :

\(A=\dfrac{1}{2}\times b\times h\\\\\text{h is height}\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times (14x^5 + 63x^2)}{7x^2}\\\\h=\dfrac{2\times 7x^2(2x^3 + 9)}{7x^2}\\\\h=2(2x^3+9)\\\\=4x^3+18\)

So, the height of the triangle is \(4x^3+18\).

Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to 2. Tia wants to sell a total of 35 apples and oranges. How many apples should she sell?

Answers

The number of apples for the lot will be 21.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to 2. Tia wants to sell a total of 35 apples and oranges.

a /o = 3 / 2

a + o = 35

( 3 / 2)o + o = 35

5o = 70

o = 14

a + o = 35

a + 14 = 35

a = 21

Hence, the number of apples for the lot will be 21.

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3/5 of 2 kg
what is the answer​

Answers

Answer: 1.2 kilograms Brainliest please happy to help

Step-by-step explanation:

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