Question

Suppose (as is roughly true) that 88% of college men and 82% of college women were employed last summer. A sample survey interviews SRSs of 400 college men and 400 college women. The two samples are of course independent.

(a) What is the approximate distribution of the proportion p̂_F of women who worked last summer? (Round your standard deviation to four decimal places.)

N (0.82 , 0.0192)

What is the approximate distribution of the proportion p̂_M of men who worked? (Round your standard deviation to four decimal places.)

N (0.88 , 0.0162)

(b) The survey wants to compare men and women. What is the approximate distribution of the difference in the proportions who worked, p̂_M − p̂_F?

N (0.06 , 0.0082)

(c) What is the probability that in the sample a higher proportion of women than men worked last summer? (Round your answer to four decimal places.)

=

can you please do part C and double check for part a and b answers please

Answer 1