The Sweet Encounter is a touring internaonal candy festival. The festival's most popular product is rainbow lollipops. At one stop of the tour, the festival promoter took a sample of the products offered. He found that 19 of the 45 products in his sample were rainbow lollipops. Among the 720 products offered at that stop, 260 were rainbow lollipops. For the festival promoter's sample, find and write with proper notaon the sample proporon and populaon proporb'on of products offered that were rainbow lollipops. Write the proportions as decimals (not percentages) rounded to two decimal places. 0 pehat is 0.42 and P is 0.36 O phat is 0.03 and P is 0.17 O pehat is 0.17 and P is 0.03 O pehat is 0.36 and P is 0.42 D Question 3 2 pts The Central Limit Theorem states that the sampling distribuh'on of x is approximately normal when the sample size is small. 0 True 0 False \fThe mean serum cholesterol level for U.S. adults was 204, with a standard deviation of 42.5 (the units are milligrams per deciliter). A simple random sample of 112 adults is chosen. Round the answers to at least four decimal places. What is the probability that the sample mean cholesterol level is is between 192 and 202? A. Central Limit Theorem Calculator and B. Normal Approximation CalculatorIf we increase the sample size and keep the confidence level the same, what happens to the margin of error for a confidence interval? O the margin of error will not change the margin of error will increase O the margin of error will decrease O the margin of error will stay the same