Question 4: Suppose (0.3, 0.5) is a 95% confidence interval for p, the true population proportion. (a) [2pts] What was p, the sample proportion? (b) [2 pts] What was the margin of error? (c) [2 pts] What was the value of Za/z? (d) [3 pts] How large a sample would be needed to have the width of a 95 % CI to be 0.37 (e) [3 pts] Would a 99% confidence interval constructed from the same sample be wider or narrower than the interval given in the question? Explain