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) What are the appropriate null and alternative hypotheses? Group of answer choices H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf>0pm−pf>0pm−pf>0pm−pf>0 H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf<0pm−pf<0pm−pf<0pm−pf<0 H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf≠0 B)What proportion of male faculty felt that the university was supportive of female and minority faculty? Group of answer choices 0.44 0.35 0.28 0.55
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)
What are the appropriate null and alternative hypotheses?
H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf>0pm−pf>0pm−pf>0pm−pf>0
H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf<0pm−pf<0pm−pf<0pm−pf<0
H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf≠0
B)What proportion of male faculty felt that the university was supportive of female and minority faculty?
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