Question

An SRS of 25 faculty members at a large southeastern university found that 10 felt that the university was supportive of female and minority faculty. An independent SRS of 20 female faculty found that 5 felt that the university was supportive of female and minority faculty. Let p₁ and p₂ represent the proportion of all male and female faculty 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 was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? To determine this, you test the hypotheses:

H₀:p₁=p₂
H_A:p₁>p₂

What is the p-value of your test?

	Between 0.05 and 0.01
	Larger than 0.05
	Below 0.001
	Between 0.005 and 0.001

Answer 1

Here using ti-83 calculator.

p-value = 0.1444

It is larger than 0.05