1.A marketing research company needs to estimate which of two medical plans its employees prefer. A random sample of n employees produced the following 95% confidence interval for the proportion of employees who prefer plan A. (0.299, 0.539) What is the point estimate of the true proportion of employees who prefer that plan? What is the margin of error?

A normal probability plot indicates that the data could come from a population that is normally distributed with no outliers. Find a 95% confidence interval for this data set.Suppose the observation, 41, is mistakenly entered as 14. Show that this observation is an outlier.Find a 95% confidence interval with the data set containing the outlier. What effect does the outlier have on the confidence interval? Find a point estimate for the proportion of adult males 20 to 34 years of age who have hypertension.Construct a 95% confidence interval for the proportion of adult males 20 to 34 years of age who have hypertension.You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with a 95% confidence if you use the point estimate found in part a?You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with a 95% confidence if you dont have a prior estimate?