A 1991 study of 42,000 adults indicated that 25.6% were current smokers. In 2003, the National Health Interview Survey of 33,326 adults indicated that 21.4% of adults were current smokers. (a) Find a point estimate of the difference between the proportion of current smokers in 1991 and the proportion of current smokers in 2003.
Answers
the point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.042, or 4.2 percentage points.
To find a point estimate of the difference between the proportion of current smokers in 1991 and 2003, we first need to calculate the sample proportions of current smokers for each year.
In 1991, the sample proportion of current smokers is given as 25.6%, or 0.256 in decimal form. We can calculate the number of current smokers in the sample as:
number of current smokers = 0.256 x 42,000 = 10,752
In 2003, the sample proportion of current smokers is given as 21.4%, or 0.214 in decimal form. We can calculate the number of current smokers in the sample as:
number of current smokers = 0.214 x 33,326 = 7,140.764
Since the number of current smokers must be a whole number, we round this value to the nearest integer and obtain:
number of current smokers = 7,141
Next, we can calculate the sample sizes for each year:
sample size in 1991 = 42,000
sample size in 2003 = 33,326
Using these values, we can now calculate the sample proportions of current smokers for each year:
sample proportion in 1991 = number of current smokers / sample size in 1991 = 10,752 / 42,000 ≈ 0.256
sample proportion in 2003 = number of current smokers / sample size in 2003 = 7,141 / 33,326 ≈ 0.214
Finally, the point estimate of the difference between the two sample proportions is obtained by subtracting the sample proportion in 2003 from the sample proportion in 1991:
point estimate = sample proportion in 1991 - sample proportion in 2003 = 0.256 - 0.214 = 0.042
Therefore, the point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.042, or 4.2 percentage points.
This suggests that there has been a decrease in the proportion of current smokers between 1991 and 2003. However, we need to conduct a hypothesis test to determine whether this difference is statistically significant or could have occurred by chance.
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Related Questions
admission to local art museum is $8 for each adult. How much does it cost for $4 adults to attend the museum
Answers
Over 2004 there were 220 fatal accidents in the Construction
Industry.
55 of them were on building sites.
What percentage of the total fatal accidents was on building
sites?
Answers
Answer:
25%
Step-by-step explanation:
you want to figure out how many % are 55 of 220.
To get this, you do:
percentage = (55 * 100) / 220 = 25
-> so 55 are 25% of 220. 25% of the total fatal accidents were on building sites.
At a local restaurant the amount of time that customers have to wait for their food is normally distributed with a mean of 42 minutes and a standard deviation of 2 minutes. using the empirical rule, what percentage of customers have to wait between 36 minutes and 48 minutes?
Answers
By using empirical rule, 99.7% of the customers have to wait between 36 minutes and 48 minutes.
To determine the percentage of customers who have to wait between 36 minutes and 48 minutes, we can use the empirical rule (also known as the 68-95-99.7 rule) for a normal distribution.
According to the empirical rule:
Approximately 68% of the data falls within one standard deviation of the mean.Approximately 95% of the data falls within two standard deviations of the mean.Approximately 99.7% of the data falls within three standard deviations of the mean.In this case, the mean is 42 minutes and the standard deviation is 2 minutes.
To find the percentage of customers who have to wait between 36 minutes and 48 minutes, we can calculate the z-scores for these values and then determine the percentage of data within that range.
The z-score is calculated using the formula:
z = (x - mean) / standard deviation
For 36 minutes:
z₁ = (36 - 42) / 2 = -3
For 48 minutes:
z₂ = (48 - 42) / 2 = 3
Since the z-scores fall within the range of -3 to 3, which is within three standard deviations of the mean, we can conclude that approximately 99.7% of the customers will have to wait between 36 minutes and 48 minutes.
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Answer:
95%
Step-by-step explanation:
W Answer
what hypothesis test should be used to test straight h subscript 1 italic colon italic space italic space sigma to the power of italic 2 subscript italic 1 over sigma to the power of italic 2 subscript italic 2 italic space italic space italic greater than italic space italic 1 one-sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances
Answers
An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
What is Hypothesis?In a scientific setting, a hypothesis (plural: hypotheses) is a tested claim regarding the relationship between two or more variables or a suggested explanation for a phenomenon that has been observed. The hypothesis is a succinct statement of the researcher's expectation of the study's findings, which may or may not be confirmed by the results, in a scientific experiment or study. The scientific method's fundamental step is hypothesis testing.It is customary to refer to the researcher's prediction as the alternative hypothesis and any other result as the null hypothesis, or, more simply put, the opposite of what was anticipated. (However, the words are switched around if researchers are speculating that there won't be any difference or change, for instance, that the occurrence of one variable won't rise or fall in concert with thehence,sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances.
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A toy rocket is launched from a platform 39 feet above the ground at a speed of 83 feet per second. The height of the rocket in feet is given by the polynomial −16t2 + 83t + 39, where t is the time in seconds. How high will the rocket be after 3 seconds?
Answers
Answer:
144 ft
Step-by-step explanation:
Put in '3' where 't' is and compute
Height = -16(3^2) + 83(3) + 39 = 144 ft
y is inversely proportional to the cube of x
A table of values for x and y is shown
express y in terms of x
Work out the value of x when y = 64
Answers
The formula for y in terms of x is y = 8/x^3 and x is 1/2 when y = 64
How to express y in terms of xThe variation statement is given as
y is inversely proportional to the cube of x
This means that
y = k/x^3
Where k represents the constant of variation
Using the points on the table, we have
(x, y) = (1, 8)
This gives
8 = k/1^3
Evaluate
k = 8
So, we have
y = 8/x^3
The value of x when y = 64Here, we have
y = 64 and y = 8/x^3
This gives
8/x^3 = 64
So, we have
x^3 = 1/8
Take the cube roots
x = 1/2
Hence, the value of x is 1/2
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Subtract - 8 from 18.
The answer is
Answers
Answer:
10
Step-by-step explanation:
18-8=10
Which of the following expressions can be used to find PQ?
Answers
Answer:
C
\(\frac{30}{\cos25}\)Explanation:
Given the image of the right angle, to find PQ, we have to take the cosine of angle 25 degrees as shown below;
\(\cos 25=\frac{30}{PQ}\)Let's go ahead and make PQ the subject of formula;
\(\begin{gathered} PQ\cos 25=30 \\ PQ=\frac{30}{\cos25} \end{gathered}\)Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).
Answers
Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
Write a recursive formula for each sequence.19, 7, -5, -17, ...9, = 0n= for n ≥ 2an==5, 20, 80, 320, ...for n ≥ 2
Answers
First sequence:
\(\begin{gathered} a_1=19 \\ a_n=a_1-12(n-1)=19-12n+1\Rightarrow a_n=20-12n \end{gathered}\)Second sequence:
\(\begin{gathered} a_1=5 \\ a_n=a_1\cdot4^{n-1}\Rightarrow a_n=5\cdot4^{n-1} \end{gathered}\)TEXT ANSWER
You finish parasailing and are being pulled down to the
boat at a rate of 10 feet per second. After 2 seconds, you
are 25 feet above the boat. Write in slope form
Answers
In slope form, the formula for the distance above the boat in relation to seconds would be y = 10 x + 5
How to find the slope form ?The slope form or slope - intercept form is written as :
y = Slope ( x ) + y - intercept
The slope is the rate that the event is happening.
The y - intercept is the distance at seconds.
The distance at 0 seconds would be:
= Current distance - ( Time x distance per second )
= 25 - ( 2 x 10 )
= 25 - 20
= 5 seconds
The slope form is therefore :
y = 10 x + 5
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60 POINTS ANSWER FOR BRAINLIST AND PROVIDE THE GRATH!! Stewart loves playing Genshin Impact so much that he “forgets” to do his schoolwork. It’s really starting to impact his grades and he has 36 overdue assignments. The semester is almost over, and he really needs to improve his grades. He can realistically complete 4 overdue assignments each day. Draw a graph to represent
this situation.
Answers
Answer: He needs 9 days to complete all his overdue assignments and if this is happening to you sry I feel your pain. Just vibing to k-pop while having a mental breakdown doesn't sound bad until you feel it :(
Step-by-step explanation:
Well, he has 36 overdue assignments, and if he completes 4 overdue assignments each day you need 9 days to complete all his overdue assignments.
36 divide 4 = 9 days
A cell phone plan costs $200 to start. Then there is a $50 charge each month.
What is the total cost (start-up fee and monthly charge) to use the cell phone plan for 1 month?
Answers
$50 more for every month onward
Can you please help me do this?!
Answers
Answer:
y=-2
Step-by-step explanation:
-16=8y
Divide both sides by 8...
y=-2
two of the ten insist on sitting side-by-side. in how many ways can the ten be seated together in a row?
Answers
Hence, there are 725,760 ways to seat the ten people together in a row, taking into account the two individuals who insist on sitting side-by-side.
If two of the ten people insist on sitting side-by-side, we can consider them as a single entity or a pair. So, essentially, we have nine entities (including the pair) to be seated in a row.
The number of ways to arrange these nine entities in a row is 9!, which is the factorial of 9.
However, within the pair, the two individuals can be arranged in 2! = 2 ways.
Therefore, the total number of ways to seat the ten people together, considering the pair as one entity, is 9! * 2!.
Simplifying this expression:
9! * 2! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 * 2 = 725,760
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Simplify:$$\dfrac{\sqrt{338}}{\sqrt{288}}+\dfrac{\sqrt{150}}{\sqrt{96}}. $$Express your answer as a common fraction
Answers
The simplified form of the given expression in the fractional form is \(\frac{7}{3}\).
Given that, \($$\dfrac{\sqrt{338}}{\sqrt{288}}+\dfrac{\sqrt{150}}{\sqrt{96}} $$\).
LCM of denominators \(\sqrt{288}\) and \(\sqrt{96}\)
= \(\sqrt{288\times96}\)
Make the denominator term equals to LCM, and simplify.
Now, \(\frac{\sqrt{338\times96}+\sqrt{150\times288}}{\sqrt{288\times96} }\)
= \(\frac{\sqrt{2\times13\times13\times2\times2\times2\times2\times2\times3}+\sqrt{2\times3\times5\times5\times2\times12\times12} }{\sqrt{2\times12\times12\times2\times2\times2\times2\times2\times3} }\)
= \(\frac{13\times2\times2\times2\sqrt{3}+12\times2\times5\sqrt{3}}{12\times2\times2\times2\sqrt{3} }\)
= \(\frac{104\sqrt{3}+120\sqrt{3}}{96\sqrt{3}}\)
= \(\frac{224\sqrt{3} }{96\sqrt{3} }\)
= \(\frac{224}{96}\)
= \(\frac{224\div32}{96\div32}\)
= \(\frac{7}{3}\)
Therefore, the simplified form of the given expression in the fractional form is \(\frac{7}{3}\).
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Can somebody tell me what 365 times 45 is??
Answers
Answer:
16,425
Step-by-step explanation:
For future references, I'd say use a calculator for multiplication or calculate on a piece of paper. :)
Step-by-step explanation:
please mark me as brainlest
Solve the system using substitution: {y=5x-21 y=-7x+15
Answers
Answer:
code lazar
Step-by-step explanation:
if a is an approximate value for a quantity whose true value is t, and a has relative error r, prove from the definitions of these terms that a=t(1 r).
Answers
Given that "a" is an approximate value for a quantity with a true value of "t" and a relative error of "r," we need to prove that "a" can be expressed as "t(1+r)" using the definitions of these terms.
The relative error "r" is defined as the absolute difference between the true value "t" and the approximate value "a," divided by the true value "t." Mathematically, this can be expressed as r = |t - a| / t.
To prove that a = t(1 + r), we start by rearranging the definition of relative error:
r = |t - a| / t
Multiply both sides by t:
rt = |t - a|
Since the absolute value of t - a is equal to a - t (as the true value "t" is assumed to be larger than the approximate value "a"), we can rewrite the equation as:
rt = a - t
Rearranging the equation, we have:
a = t + rt
Factoring out t, we get:
a = t(1 + r)
Thus, we have proven that "a" can be expressed as "t(1 + r)" based on the definitions of "a," "t," and "r." This equation shows the relationship between the approximate value "a," the true value "t," and the relative error "r."
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Find the equation of the lines that passes through (4, 7) and
passing at a distance 1 unit from
the origin .
Answers
The equation of the line passing through (4, 7) and at a distance of 1 unit from the origin is y = (7/4)x.
To find the equation of a line passing through the point (4, 7) and at a distance of 1 unit from the origin, we can follow these steps:
Step 1: Determine the slope of the line.
Since the line passes through the origin (0, 0) and a point (4, 7), we can calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1).
Let's substitute the coordinates:
slope = (7 - 0) / (4 - 0) = 7/4.
Step 2: Find the equation of the line.
We know that the line passes through the point (4, 7). Using the point-slope form of the equation, which is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope, we can substitute the values:
y - 7 = (7/4)(x - 4).
Step 3: Simplify the equation.
To simplify the equation, we can distribute the slope:
y - 7 = (7/4)x - 7.
Rearrange the equation to isolate y:
y = (7/4)x - 7 + 7.
Simplify further:
y = (7/4)x.
Therefore, the equation of the line passing through (4, 7) and at a distance of 1 unit from the origin is y = (7/4)x.
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a spt sampler was driven into soil and the blow counts were reported as 6, 12, 14. if the hammer efficiency is 80% for the hammer that was used in taking the spt sample. what is the n60
Answers
The value of N60 is 225.
The question requires us to determine the N60 of the soil sample from SPT sampler blow counts. Blow counts of a Standard Penetration Test (SPT) sampler provide an indication of the soil's shear strength and are utilized to estimate its bearing capacity and settlement values. The soil's bearing capacity and settlement values are typically estimated using empirical relationships. The N60-value is one of the most widely utilized SPT indices in soil engineering and geotechnical site analysis. The N60 value is the number of blows required to drive the standard SPT sampler the last 60 cm into the ground. The N60 value is estimated using the formula:
N60 = (N/Blow Count) * 60
Where N is the total number of blows needed to advance the sampler 30 cm during the SPT test and the hammer efficiency (η) is accounted for using the following equation:
Corrected N = (measured N/η)
Given values: Measured blow count = 6, 12, 14
Hammer efficiency = 80% = 0.8
To begin, we'll use the corrected N formula to calculate the total number of blows needed to advance the sampler 30 cm during the SPT test.
Corrected N = (measured N/η)
Corrected N = (6+12+14)/0.8 = 22.5 + 45 + 52.5
Corrected N = 120 Blows
Next, we'll use the equation to estimate the N60 value:
N60 = (N/Blow Count) * 60
N60 = (120/(6+12+14)) * 60
N60 = (120/32) * 60
N60 = 225
Therefore, the value of N60 is 225.
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The N60 value for the given blow counts (6, 12, 14) and a hammer efficiency of 80% is 13 blows per foot (or meter). This means that, on average, there were 13 blows per foot (or meter) corrected for the hammer efficiency in the soil being tested.
In this case, the blow counts were reported as 6, 12, 14. However, since the hammer efficiency is given as 80%, we need to adjust these values.
To calculate the N60 value, we first divide each reported blow count by the hammer efficiency (0.8 or 80%):
6 / 0.8 = 7.5
12 / 0.8 = 15
14 / 0.8 = 17.5
These adjusted values represent the number of blows that would have been observed if the hammer efficiency was 100%.
Next, we find the average of the adjusted blow counts:
(7.5 + 15 + 17.5) / 3 = 13
Therefore, the N60 value is 13, which indicates that for these soil conditions, there were an average of 13 blows per foot (or meter) corrected for the hammer efficiency.
The N60 value is an important parameter used in geotechnical engineering to evaluate the subsurface soil conditions. It represents the corrected blow count for the Standard Penetration Test (SPT), which is widely used to assess the soil's resistance to penetration.
The reported blow counts for the SPT were 6, 12, and 14. However, the hammer efficiency is given as 80%. The hammer efficiency accounts for any energy loss in the hammering process, which can affect the penetration resistance measurement. In this case, we need to adjust the blow counts by dividing them by the hammer efficiency.
By dividing each blow count by 0.8 (80% in decimal form), we obtain the adjusted blow counts: 7.5, 15, and 17.5. These adjusted values represent the number of blows per foot (or meter) if the hammer efficiency was 100%.
To determine the N60 value, we calculate the average of the adjusted blow counts. Adding up the adjusted blow counts and dividing by 3 (the number of counts), we get:
(7.5 + 15 + 17.5) / 3 = 13
Therefore, the N60 value for this scenario is 13 blows per foot (or meter). This means that, on average, there were 13 blows per foot (or meter) corrected for the hammer efficiency in the soil being tested.
The N60 value for the given blow counts and a hammer efficiency of 80% is 13 blows per foot (or meter). This value provides an indication of the soil's resistance to penetration, helping engineers and geologists assess its properties and behavior.
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pls answer!!
In the figure below, ABC is similar to FED. Find the length of BC.
Answers
if two events are complementary, they must also be mutually exclusive events. group of answer choices true false
Answers
The statement that is if two events are complementary, they must also be mutually exclusive events is False.
Because not all mutually exclusive occurrences are necessarily complimentary, whereas all complementary events are mutually exclusive.
Mutually excusive events are those events that do not occur at the same time.
Complementary events are those two events which are the only possible events.
Since P(A) + P(B) =1, A and B are possible events.Hence A and B are mutually exclusive and complementary events
Therefore the statement is false.
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Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)
Answers
According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so
8x - 20 = 5x + 378x - 5x = 37 + 203x = 57x = 57 ÷ 3x = 19What is the product (6√5 - 6i) (√3 + √3i) in polar form example : (e - fi) and what quadrant of the complex plane does the product lie?
Answers
Answer: Plain: the product is 24 ∠ 15° in polar form. This means that the magnitude of the product is 24 and the angle between the positive real axis and the line connecting the origin and the product is 15°, measured counterclockwise.
Step-by-step explanation: To multiply complex numbers in polar form, we multiply their magnitudes and add their angles. We can start by converting the given complex numbers from rectangular form to polar form:
6√5 - 6i = 6(√5 - i) = 12 ∠ -30°
(√3 + √3i) = √3(1 + i) = 2 ∠ 45°
where we have used the fact that ∠θ is the angle between the positive real axis and the line connecting the origin and the complex number a + bi, measured counterclockwise.
Now, we can multiply the two complex numbers in polar form:
(6√5 - 6i)(√3 + √3i) = 12 ∠ -30° * 2 ∠ 45°
= 24 ∠ 15°
Therefore, the product is 24 ∠ 15° in polar form. This means that the magnitude of the product is 24 and the angle between the positive real axis and the line connecting the origin and the product is 15°, measured counterclockwise.
To determine the quadrant of the complex plane in which the product lies, we note that the angle 15° is in the first quadrant (between 0° and 90°). Therefore, the product lies in the first quadrant of the complex plane.
Order the expressions by choosing >,
Answers
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
3(m - 1) = 5m +3 -2m please help me solve this step by step asap!
Answers
Answer:
0 = 6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(m−1)=5m+3−2m
(3)(m)+(3)(−1)=5m+3+−2m (Distribute)
3m+−3=5m+3+−2m
3m−3=(5m+−2m)+(3) (Combine Like Terms)
3m−3=3m+3
3m−3=3m+3
Step 2: Subtract 3m from both sides.
3m−3−3m=3m+3−3m
−3=3
Step 3: Add 3 to both sides.
−3+3=3+3
0=6
If f(x) = x^4 - 36, and g(x) = x^2+ 6 then f(x) ÷ g(x)=
Answers
Answer:
f+g)(x) = f(x) +g(x)
.. = (x^2-36) +(x^3+2x^2-10)
.. = x^3 +3x^2 -46
Step-by-step explanation:
a bag contains 150 marbels some of the marbles areblueand the rest of the marbles are white in the bag there a 21 blue marbles for every 4 marbles
how many of each color marbel blue and white are in the
bag ?
Answers
Answer:
126 blue marbles, 24 white marbles
Step-by-step explanation:
The ratio of blue marbles to white marbles is 21 to 4. From this, we have this equation:
\(21x + 4x = 150\)
\(25x = 150\)
\(x = 6\)
So we have 21 × 6 = 126 blue marbles and 4 × 6 = 24 blue marbles.
126/24 = 21/4
find 4 different solution for 2x-y-4=0
Answers
Answer:
x=3 y=1
x=4 y=2
x=5 y=3
x=6 y=4
Step-by-step explanation:
add y to both sides to get:
2x-4=y
pull out the 2 from 2x-4 to get:
2(x-2)-y = 0
We need to know that x-2 cannot equal 0 or else the solution will be negative. So we need to make x-2 equal to any other number that is not negative and make y the inverse of x-2 so they cancel out and be zero. so some solutions are:
x=3 y=1
x=4 y=2
x=5 y=3
x=6 y=4