According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 8 have been abused. Complete parts a through c below.

a. What is the probability of observing 8 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= 3/8?

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 8 or more abused women in a sample of 25 if p = 0.10.

The probability of observing 8 or more abused women in a sample of 25 is