a) Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 95% confidence interval for p given that p^=0.35 and n=475. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places.

b) Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 95% confidence interval for the proportion who will answer ''Yes" to a question, given that 60 answered yes in a random sample of 80 people. Round your answers to three decimal places.

c) Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5%5% significance level. Test H0:p=0.5 vs Ha:p>0.5 using the sample results p^=0.60 with n=50 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places

d) Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5%5% significance level. Test H0:p=0.3 vs Ha:p<0.3 using the sample results p^=0.22 with n=202 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.