Do the following exercises on hypothesis testing. In each case, prepare an answer that includes the following: a single statement of the purpose of the test; a statement of both the null and the alternative hypothesis; a description of the test statistic used; identification of the rejection region; the p-value of your statistic (i.e. the probability under the null of observing statistics as extreme or more extreme than yours); the conclusion from the hypothesis test; and a single statement interpreting the result. ( 32 marks) Two political parties (A and B) are active in a district. In the last election, public support was evenly divided among the two parties. Each has been working hard since to lure voters away from its rival. The leader for Party A has hired you to find out if there is evidence that the support for his party has changed. Suppose you take a random sample of 40 voters and 13 say they support Part A. Do a statistical test to determine if the evidence supports the claim that the level of support for the party has changed (is no longer 50% )