Please show step by step. Thank you!

WH' 5. (7) An administrator tests that the proportion of students at your college that participate in Greek life differs from 0.40 based on a sample of 100 students. That is, they test H0: 10 = 0.40 vs H\": p a 0.40, and they get a test statistics of z = 1.96. What is the p-value for the test?; What is the observed statistic 36? a. 0.05; 0.404? b. 0.025; 0.496 c. 0.05; 0.496 d. 0.95; 0.005 e. 0.95; 0.404? 6. (7) A telephone survey is conducted to determine the average number of pets in the typical American family. Past experience has shown that 70% of those telephoned will refuse to respond to the survey. Suppose that a researcher planed to make 50-0 calls. How my calls would he expect to be responded? At which trial would he expect to observe the first response? a. 350; 2 calls b. 150; 4 calls c. 120; 4 calls d. 400; 3 calls e. not enough information to determine 7'. (6) Complete the following sentence: When conducting a hypothesis test, we and then evaluate the test results to determine if there is enough evidence to a. Assume that the null hypothesis is false; accept the null hypothesis b. Assume that the null hypothesis is true; reject the null hypothesis c. Assume that the alternative hypothesis is true; reject the null hypothesis d. Assume the alternative hypothesis is false; reject the alternative hypothesis 8. (6) When constructing a condence interval for a single proportion, which assumption should we check? a. n 2': 30 b. Independence between groups c. expected cell counts > 5 d. m\": > 10 and nil 51> 10