According to a recentstudy, 1 in every 3 women has been a victim of domestic abuse. This probability was obtained from a survey of1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below.

a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p=13?

The probability of observing 7 or more abused women in a sample of 25 is

nothing

.

(Round to four decimal places asneeded.)

b. Many experts on domestic violence believe that the proportion of women who are domestically abused is closer to p=0.10. Calculate the probability of observing 7 or more abused women in a sample of 25 if p= 0.10.

The probability of observing 7 or more abused women in a sample of 25 is

nothing

.

(Round to four decimal places asneeded.)

c. What might your answers to parts a and b suggest about the value ofp?

A.

Because the probability of observing 7 or more abused women in a sample of 25 is smaller in part a than in part b it is more likely that p=13 than p=0.10.

B.

Because the probability of observing 7 or more abused women in a sample of 25 is greater in part a than in part b it is more likely that p=0.10 than p=13.

C.

Because the probability of observing 7 or more abused women in a sample of 25 is greater in part a than in part b it is more likely that p=13 than p=0.10.

D.

Because the probability of observing 7 or more abused women in a sample of 25 is smaller in part a than in part b it is more likely that p=0.10 than p=13.