One of the more popular statistics reported in the media is the president's job approval rating. The approval rating is reported as the proportion of the population who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters where the sample size is the same week to week. Complete parts (a) and (b) below. a) This proportion tends to fluctuate from week to week. Name some reasons for the fluctuation in the statistic. Select all valid reasons below. Y A. The proportion could be changing due to sampling error, different people are in the sample. B. The proportion could be changing because the sampling size of the poll is changing. Y C. The proportion could be changing because people's attitudes are changing. D. The proportion could be changing due to a large change in the composition of the population. b) A poll showed the approval rating to be 0.44 (44%). A second poll based on 2000 randomly selected voters showed that 850 approved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly lower than the original level? Explain. Assume the a = 0.05 level of significance. Identify the null and alternative hypotheses for this test. CA. Ho: P = 0.44 O B. Ho: P = 0.44 O C. Ho: P > 0.44 Hy : p 0.44 H1: p = 0.44 O D. Ho: p # 0.44 O E. Ho: P = 0.44 OF. Ho: p