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.

Using the above data, construct a 95% confidence interval for p₁ and p₂.

a	(-.205, .505)
b	(-.077, .377)
c	(.012), .288)
d	(-.42, .12)
e	(-.12, .42)

Answer 1

Male :-

x1 = 10

n1 = 25

= (x1/n1)

Female :-

x2 = 5

n2 = 20

= (x2/n2)

Here using ti-83 calculator.

95% confidence interval is -0.12 and 0.42

# option "e" is correct.