Researchers surveyed 1,150 high school students in CA to estimate the proportion of all high school students who vape. 368 of the surveyed students said they do vape. What is the margin of error of the 95% confidence interval?

A survey of a random sample of 1,500 young Americans found that 87% had earned their high school diploma. Based on these results, the 95% confidence interval for the proportion of young Americans who have earned their high school diploma is (0.853,0.887) What is the margin of error for this confidence interval? 0.95 0.87 0.034 0.017

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 43.5% and 48.5% of the residents supports the plan. What is the margin of error on the survey?

A random sample of 30 students taking statistics at a community college found the student’s mean GPA to be 3.25. A 95% confidence interval for the mean GPA of all students taking statistics at this college was determined to be (3.07, 3.43). What is the margin of error for this confidence interval? 3.25 0.18 0.36 0.95

A study of a local high school tried to determine the mean number of text messages that each student sent per day.  The study surveyed a random sample of 30 students in the high school and found a mean of 181 messages sent per day with a standard deviation of 70 messages.  At the 95% confidence level, find the margin of error for the mean, rounding to the nearest whole number.  Margin of Error = 2(sn√)2(𝑠𝑛)where s is the standard deviation and n is the sample size.

A group of marketing students at a large university wants to determine the proportion of first year students who use certain types of social media. The students want their estimate to be within 0.03 of the true proportion with a 95% level of confidence. Two years ago, a similar study determined the proportion to be 0.796. How large of a sample is required?