1. Assume that a sample is used to estimate a populationproportion p. Find the 90% confidence interval for asample of size 112 with 28% successes. Enter your answer as atri-linear inequality using decimals (not percents) accurate tothree decimal places.
2.  You want to obtain a sample to estimate apopulation proportion. Based on previous evidence, you believe thepopulation proportion is approximately 88%. You would like to be98% confident that your estimate is within 3% of the truepopulation proportion. How large of a sample size is required? n=________
3.  You want to obtain a sample to estimate apopulation mean. Based on previous evidence, you believe thepopulation standard deviation is approximately ?=43.7?=43.7. Youwould like to be 90% confident that your estimate is within 3 ofthe true population mean. How large of a sample size is required?n= _____