A team of builders has surveyed buyers of their new home for years. Consistently, 41% of the buyers have indicated that they were satisfied with the construction quality of their homes. The builders have adopted a revised quality-inspection system to try to improve customer satisfaction. They have surveyed 104 buyers since then. Of these buyers, 57 indicated they were satisfied.

a. Set up appropriate null and (one-sided) alternative hypotheses for this situation. Alternative hypothesis should be that the new system improved satisfaction

b. Based on these data, can you reject the null hypothesis at 5% significance level?

c. Repeat the test at 1% significance level

d. Compute the p-value corresponding to this test.