Write the appropriate formula, fill it in, then calculate the confidence interval. Round p-hats and proportions to three decimal places, round means to one decimal place. 14. A study found that 265 of 924 students voted in Associated Student Government elections. Construct a 99% confidence interval for the proportion of students who vote in ASG elections. 15. A study found that for the 46 female students surveyed, they had a mean height of 67 inches. It is known that the population standard deviation is 3 inches. Construct a 95% confidence interval for the average height of female students. 16. Estimate the average number of feathers that a mature tom turkey has with 95% confidence interval by using a sample of 32 turkeys that had a mean of 3450 feathers and a standard deviation of 25 feathers.