A study compares the difference in proportions of those who can taste Phenylthiocarbamide (PTC) between nen and women. The data is summarized in the following table: Can taste PTC? Female Male No 15 14 51 38 66 52 Yes Total Total 29 89 118 What is the estimate for the population difference in proportions? What is the standard error for this estimate? Using your answers for parts a and b, construct a 95% confidence interval estimating the difference in population proportions.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 99E
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A study compares the difference in proportions of those who can taste Phenylthiocarbamide (PTC) between
men and women. The data is summarized in the following table:
b
C.
d.
Can taste PTC? Female Male
No
15
14
Yes
38
Total
52
51
66
Total
29
89
118
What is the estimate for the population difference in proportions?
What is the standard error for this estimate?
Using your answers for parts a and b, construct a 95% confidence interval estimating the
difference in population proportions.
Now, test the hypotheses that there is a difference between the proportions for men and women.
Report your p-value and conclusion.
Transcribed Image Text:A study compares the difference in proportions of those who can taste Phenylthiocarbamide (PTC) between men and women. The data is summarized in the following table: b C. d. Can taste PTC? Female Male No 15 14 Yes 38 Total 52 51 66 Total 29 89 118 What is the estimate for the population difference in proportions? What is the standard error for this estimate? Using your answers for parts a and b, construct a 95% confidence interval estimating the difference in population proportions. Now, test the hypotheses that there is a difference between the proportions for men and women. Report your p-value and conclusion.
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