A retailer is interested in investigating whether doubling the value of manufacturer coupons will

(a) increase the number of shoppers and

(b) increase store profits. “Doubling” means that the store would give consumers a discount equal to twice the coupon face value, with the retailer absorbing the cost of the extra discount. The retailer would also like to know whether the redemption percentage of doubled coupons varies by gender, income, or age. Write the null and alternative hypotheses associated with each test that would need to be performed in order to provide this information. For each null hypothesis, indicate the type of data that should be collected to best test the hypothesis, and the type of statistical test that would need to be performed.