2. 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. (10 pts.) b. Based on these data, can you reject the null hypothesis at 5% significance level? (10 pts.) c. Repeat the test at 1% significance level. (10pts.) d. Without computing the p-value, what can you say about the p-value just by looking at your answers to parts (b) and (c)? Give your answer in the form that "the p-value is larger than a certain number", or "the p-value is smaller than a certain number", or possibly both. e. Compute the p-value corresponding to this test. (10 pts.)