12.14 House prices in bad part of town Refer to the previous exercise. Of the 100 homes, 25 were in a part of town considered less desirable. For a regression analysis using y = selling price and x = size of house for these 25 homes,

a. You plan to test H0: b = 0 against Ha: b 7 0. Explain what H0 means and why a data analyst might choose a one-sided Ha for this test.

b. For this one-sided alternative hypothesis, how large would the t test statistic need to be to get a P-value equal to (i) 0.05 and (ii) 0.01?