In a Harvard School of Public Health survey, 2105 of 10,904 randomly selected U.S. college students were classified as abstainers (nondrinkers). a. Estimate with 99% confidence the true proportion of U.S. college students that are classified as nondrinkers. b. A newspaper article claims that 25% of U.S. college students are nondrinkers. Based on your confidence interval, is the claim true or false?

2. According to the website Rotten Tomatoes, 94% of people who watched the Netflix show Stranger Things liked it. Since UR students tend to be scientifically minded, we hypothesize that less than 94% of UR students like the show. Out of 219 surveyed UR students, 198 indicated they like Stranger Things. Use the built in prop.test() function to: a. Construct a 90% confidence interval for the proportion of UR students who like Stranger Things. b. Test at the a=0.10 significance level whether the proportion of students who like Stranger Things is LESS THAN 0.94. What conclusion do you reach?

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

15. Pain after surgery: In a random sample of 50 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 90 patients undergoing a new procedure, only 16 required pain medication. a. Construct a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. b. A physician claims that the proportion of patients who need pain medication is the same for both procedures. Does the confidence interval contradict this claim? 16

A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election. 110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate. The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B. What is the point estimate? Round final answer to 3 decimal places.

University Food service is interested in the percentage of students on campus who would choose a vegan meal if offered (as an addition to a menu that contained a vegetarian and non-vegetarian option). They receive responses from 45 students and find that 13 of them would at least occasionally purchase that choice. A. Construct a 95% confidence interval. B. Briefly interpret this interval in the context of the problem.

1.A poll questioned 800 students about their views on pizza for lunch at school. The results indicated that 65% of respondents felt that pizza was a must for lunch at school and would quit school if there was no pizza at lunch. a) Determine the 90% confidence interval.  b) What is the margin of error for this response at the 90% confidence level?

A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1093 respondents, 448 said it was a good thing. a. What percentage of those taking the poll said immigration was a good thing? b. Check the conditions to determine whether you can apply the CLT to find a confidence interval. c. Find a 95% confidence interval for the proportion who believe immigration is a good thing. a % of those taking the poll said immigration was a good thing (Round to one decimal place as needed.)