A study was done to determine whether including a gift with a request for a donation aects the proportion who will make a donation. Suppose the following results were obtained. Donation No Donation (a) Suppose a random participant from the stud},r is selected. What is the probability that they were sent a large gift, given that they made a donation? (b) Compute and give the two-way table of expected counts under the assumption that the size of gift and donation status are independent. ((3) Use the given table, the table from part b1 and your calculator to carry out a hypothesis test to determine if there is convincing evidence that the proportions in the two donation categories are not the same for all three types of requests. Report the Pvalue, and state your conclusion with a signicance level of .01