At a large university, an SRS of 25 male faculty members included 10 men who fel

Question

At a large university, an SRS of 25 male faculty members included 10 men who felt that the university was supportive of female and minority faculty. An 20 female faculty members found five women who felt the university was supportive of female and minority faculty. Let p_1 and p_2 represent the proportion all male and female faculty members, respectively, who felt that the university was supportive of female and minority faculty. What is the pooled sample proportion p? A. 25% B. 40% C. 65% D. 33%

Explanation / Answer

Pooled proportion sample

= p^ = x1+x2/ n1+n2

= 10+5/20+25

= 15/45

=33.3%

Answer is D

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