Shopping. A survey of 520 randomly chosen adults finds that 175 of 253 men and 222 of 267 women made purchases during a sale.

a) Is there evidence that the gender and whether a person makes a purchase during a sale are associated?

b) If your conclusion proves to be wrong, what type of error did you make?

c) Give a 95% confidence interval for the difference in proportions of making purchases during a sale for men and women.