According to researchers at Dan&Jones Associates, 1 on every 3 women has been a victim of domestic abuse. This probability was obtained from a survey of 1000 adult women residing in Utah. Suppose we randomly sample 15 women and find that 3 have been abused.

a) What's the probability of observing 3 or more abused women in a sample of 15 if the proportion of women who are victims of domestic abuse is really 1 3 ?

b) Many experts on domestic violence believe that the proportion of women who are domestically abused is closer to 0.1. Calculate the probability of observing 3 or more domestic abused women in a sample of 15 if the proportion of abused women is 0.1.

c) Based on the calculation result of parts a and b, what's your guess about the proportion of domestic abused women