Suppose that Andrew and Becky both study a random sample that has a sample proportion of p= .4. Each uses the sample data to produce a confidence interval for the population proportion, with Andrew obtaining the interval (346,.474) and Becky obtaining the interval (286,.514). a. One of these intervals has to be incorrect. Identify which one, and explain why. Suppose that Andrew and Becky decide to gather new random samples, with one using a sample size of 100 and the other using a sample size of 200. Andrews confidence interval turns out to be (558, .682), and Beckys is (.611, .779). b. Report the sample proportion p obtained by each researcher. (Assume that both intervals were calculated correctly.) c. Report the margin - of - error for each interval. d. Explain why the information provided does not enable you to tell which sample size was used by which researcher. e. Suppose that Andrew had the sample size of 100 and Becky 200. Determine the confidence level used by each. [Hint: First determine the critical value z* used by each.] Suppose that Andrew and Becky decide to study another issue with new samples, one with a sample size of 250 and one with a sample size of 1000. Both decide to form 90% confidence intervals from their samples. Andrew obtains the interval (.533, .635), and Becky gets (.550,.602). f. Report the sample proportion and the margin- of -error for each interval. g. Which sample size goes with which researcher? Explain. h. Whichresearcherismorelikelytoobtain an interval that succeeds in capturing the population proportion? Explain.