They say that as you get older, you need to take vitamins. A researcher wanted to see if this was true and had adults of various ages record their amount of dairy intake in ounces to see if they need a vitamin supplement. Age 68 83 60 71 50 43 60 58 43 39 Dairy (ounces) 10 9 10 14 14 17 17 17 20 22 (a) Compute r. (Round your answer to three decimal places.) (b) Which is the correct formula partially filled in to calculate the test statistic from the correlation coefficient? r 10 − 2 1 − r2 r 20 − 1 1 − r2 r2 20 − 1 1 − r2 r2 10 − 2 1 − r2 (c) Based on the test statistic found using the formula from part (b), calculate the P-value and compare it to the level of significance
They say that as you get older, you need to take vitamins. A researcher wanted to see if this was true and had adults of various ages record their amount of dairy intake in ounces to see if they need a vitamin supplement. Age 68 83 60 71 50 43 60 58 43 39 Dairy (ounces) 10 9 10 14 14 17 17 17 20 22 (a) Compute r. (Round your answer to three decimal places.) (b) Which is the correct formula partially filled in to calculate the test statistic from the correlation coefficient? r 10 − 2 1 − r2 r 20 − 1 1 − r2 r2 20 − 1 1 − r2 r2 10 − 2 1 − r2 (c) Based on the test statistic found using the formula from part (b), calculate the P-value and compare it to the level of significance
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 52E
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Question
They say that as you get older, you need to take vitamins. A researcher wanted to see if this was true and had adults of various ages record their amount of dairy intake in ounces to see if they need a vitamin supplement.
Age | 68 | 83 | 60 | 71 | 50 | 43 | 60 | 58 | 43 | 39 |
---|---|---|---|---|---|---|---|---|---|---|
Dairy (ounces) | 10 | 9 | 10 | 14 | 14 | 17 | 17 | 17 | 20 | 22 |
(a)
Compute r. (Round your answer to three decimal places.)
(b)
Which is the correct formula partially filled in to calculate the test statistic from the correlation coefficient?
r
|
r
|
r2
|
r2
|
(c)
Based on the test statistic found using the formula from part (b), calculate the P-value and compare it to the level of significance
? = 0.05.
How would you conclude in context of the problem? (Use a table or technology.)Fail to reject
H0.
There is insufficient evidence from the sample to support that as age increases, amount of dairy intake increases.Reject
H0.
There is sufficient evidence from the sample to support that as age increases, amount of dairy intake increases. Fail to reject
H0.
There is insufficient evidence from the sample to support that as age increases, amount of dairy intake decreases.Reject
H0.
There is sufficient evidence from the sample to support that as age increases, amount of dairy intake decreases.Expert Solution
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