An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10 a)Suppose the p-value was 0.034. What conclusion should we make at α=0.01α=0.01α=0.01α=0.01? Group of answer choices Fail to reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Fail to reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. B) A 95% confidence interval was found to be (-0.45, 0.54). Suppose instead we were testing a two-sided hypothesis. Does this confidence interval allow us to say that the two proportions differ significantly at α=0.05α=0.05α=0.05α=0.05? Group of answer choices No, because the confidence interval includes 0. No, because the confidence interval does not include 0. Yes, because the confidence interval includes 0. Yes, because the confidence interval does not include 0.

An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10 a)Suppose the p-value was 0.034. What conclusion should we make at α=0.01α=0.01α=0.01α=0.01? Group of answer choices Fail to reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Fail to reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. B) A 95% confidence interval was found to be (-0.45, 0.54). Suppose instead we were testing a two-sided hypothesis. Does this confidence interval allow us to say that the two proportions differ significantly at α=0.05α=0.05α=0.05α=0.05? Group of answer choices No, because the confidence interval includes 0. No, because the confidence interval does not include 0. Yes, because the confidence interval includes 0. Yes, because the confidence interval does not include 0.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

a)Suppose the p-value was 0.034. What conclusion should we make at α=0.01α=0.01α=0.01α=0.01?

Group of answer choices

Fail to reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.

Reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.

Fail to reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.

Reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.

B) A 95% confidence interval was found to be (-0.45, 0.54). Suppose instead we were testing a two-sided hypothesis. Does this confidence interval allow us to say that the two proportions differ significantly at α=0.05α=0.05α=0.05α=0.05?

Group of answer choices

No, because the confidence interval includes 0.

No, because the confidence interval does not include 0.

Yes, because the confidence interval includes 0.

Yes, because the confidence interval does not include 0.

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