A past poll found that in a sample of 200 registered voters, 36% of the sample approved of President Biden. and a. Find a 90% confidence interval for the true proportion of registered voters that approve of President Biden. Round your confidence interval limits to three decimal places. We are 90% confident that the true proportion of registered voters that approve of President Biden is between b. Find a 95% confidence interval for the true proportion of registered voters that approve of President Biden. We are 95% confident that the true proportion of registered voters that approve of President Biden is between c. Find a 99% confidence interval for the true proportion of registered voters that approve of President Biden. We are 99% confident that the true proportion of registered voters that approve of President Biden is between d. As the confidence level increases the margin of error and and Check Suppose that in another survey of a sample of 1000 registered voters, 36% of the sample approved of President Biden. (Note that this survey used a much larger sample.) a. Based on the above information, find a 95% confidence interval for the true proportion of registered voters that approve of President Biden. Round your confidence interval limits to three decimal places. We are 95% confident that the true proportion of registered voters that approve of President Biden is between and b. As the sample size increases the margin of error Check