Answer:
The probability that more than 22 of the women sampled have not been the victim of domestic abuse is P=0.537.
Explanation:
This problem can be modeled by a binomial random variable.
The probability p can be calculated as the proportion of women that has not been a victim of domestic abuse at some point in her life:

The sample size is n=25.
We want to calculate the probability that more than 22 of the women of the sample have not been victim of domestic abuse.
The probability that exactly k women have not been victim of domestic abuse can be calculated as:

Then, the probability that more than 22 of the women sampled have not been the victim of domestic abuse is:
