For numbers 12-15, refer to the given problem below. Suppose that the percentage of female physicians is 27%. In a survey of physicians, 45 of 120 are women. Is there sufficient evidence at a = 0.01 to claim that the proportion of women physicians is greater than 27%? 12. Choose the correct hypotheses. A. Ho: p = 0.27; H₁: p > 0.27 B. Ho: p = 0.27; Ha: p < 0.27 C. Ho: p = 0.27; Ha: p * 0.27 D. Ho: p > 0.27; Ha: p = 0.27 13. What is the value of z? A. -2.59 B. -0.005 C. 0.005 D. 2.59 14. Which is closest to the p-value? A. 0.0005 B. 0.005 C. 0.05 D. 0.5 15. What is the correct decision and conclusion? A. Change the alternative hypothesis. B. There are no possible decision and conclusion. C. Reject the null hypothesis because there is enough evidence to support the claim that the proportion of women physicians is greater than 27%. D. Fail to reject the null hypothesis because there is not enough evidence to support the claim that the proportion of women physicians is greater than 27%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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I need answers for questions 14-15.

For numbers 12-15, refer to the given problem below.
Suppose that the percentage of female physicians is 27%. In a survey
of physicians, 45 of 120 are women. Is there sufficient evidence at a = 0.01
to claim that the proportion of women physicians is greater than 27%?
12. Choose the correct hypotheses.
A. Ho: p= 0.27;
H₁: p > 0.27
B.
Ho: p = 0.27;
Ha: p < 0.27
C.
Ho: p = 0.27;
Ha: p * 0.27
D. Ho: p > 0.27;
Ha: p = 0.27
13. What is the value of z?
A. -2.59
B. -0.005
C. 0.005
D. 2.59
14. Which is closest to the p-value?
A. 0.0005
B. 0.005
C. 0.05
D. 0.5
15. What is the correct decision and conclusion?
A. Change the alternative hypothesis.
B.
There are no possible decision and conclusion.
C.
Reject the null hypothesis because there is enough evidence to
support the claim that the proportion of women physicians is greater
than 27%.
D. Fail to reject the null hypothesis because there is not enough evidence
to support the claim that the proportion of women physicians is
greater than 27%.
Transcribed Image Text:For numbers 12-15, refer to the given problem below. Suppose that the percentage of female physicians is 27%. In a survey of physicians, 45 of 120 are women. Is there sufficient evidence at a = 0.01 to claim that the proportion of women physicians is greater than 27%? 12. Choose the correct hypotheses. A. Ho: p= 0.27; H₁: p > 0.27 B. Ho: p = 0.27; Ha: p < 0.27 C. Ho: p = 0.27; Ha: p * 0.27 D. Ho: p > 0.27; Ha: p = 0.27 13. What is the value of z? A. -2.59 B. -0.005 C. 0.005 D. 2.59 14. Which is closest to the p-value? A. 0.0005 B. 0.005 C. 0.05 D. 0.5 15. What is the correct decision and conclusion? A. Change the alternative hypothesis. B. There are no possible decision and conclusion. C. Reject the null hypothesis because there is enough evidence to support the claim that the proportion of women physicians is greater than 27%. D. Fail to reject the null hypothesis because there is not enough evidence to support the claim that the proportion of women physicians is greater than 27%.
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