study done by researchers at a university concluded that 50​% of all student athletes in this country have been subjected to some form of hazing. The study is based on responses from 1,500 athletes. What are the margin of error and​ 95% confidence interval for the​ study?

A research poll of 1501 adults showed that 1051 of respondents believe in global warming. Find a 98% confidence interval estimate for the proportion of adults that believe in global warming. Based on these results, can we safely conclude that the majority of adults believe in global warming and why?

A researcher company is interested in determining the true proportion of Americans that work remotely. In random smaple of 200 individuals, 4.5% of them work remotely. Find a 90% confidence interval for the true proportion of Americans that work remotely.

In a random sample of 250 high school students, it was found that 85.2% (213) of them later graduated. Find the 95% and 98% confidence interval for the true proportion of all high school students who graduate. Compare the two proportions.

In 2013, the Gallup poll asked 1,039 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found that 634 believe there was a conspiracy ("Gallup news service" 2013). What is the Estimate of proportion of Americans who believe in this conspiracy using a 90% confidence interval?

A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages.  Construct a 95% confidence interval for the proportion of adults who have a Facebook page.

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to estimate a 95% confidence interval for the true proportion of all American adults feel that cameras should be banned from the courtroom. what is the 95% confidence interval?

A marketing study with a random sample of 400 results in 160 subjects reacting positively to the proposed product. Determine the 95% confidence interval for the population proportion.

We survey 1004 teens age 13-19, we record whether or not they have had sex education. 817 respond that they have had some form of sex education.  (a)  Construct a 99% confidence interval for teens who have not had sex education. (b)  How many teens would we have to sample in order to cut the margin of error in half?

Baylor University is interested in what proportion of applicants would like to enter statistics department. Of a random sample of 100 applicants, 24 chose the department. Construct a 99% confidence interval for the true proportion of all applicants that prefer statistics.