In late June 2012, Survey USA published results of a survey stating that 56% of the 600 randomly sampled Kansas residents planned to set off fireworks on July 4th.

Kit and Casey are each attempting to estimate the proportion of college students who can play at least one musical instrument. They each survey a different random sample of college students, and in each sample, the proportion who can play at least one musical instrument is 0.35. Kit and Casey each use their sample data to construct a confidence interval. Kit's interval is from 0.308 to 0.372 and Casey's interval is from 0.318 to 0.382. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? O Kit's interval must be incorrect. O It's impossible to answer this question without knowing the sample sizes. O It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval. O Casey's interval must be incorrect. O It's impossible to answer this question without knowing the level of confidence used for each interval.

The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 :   Suppose a sample of 283283 suspected criminals is drawn. Of these people, 9393 were captured. Using the data, construct the 85%85% confidence interval for the population proportion of people who are captured after appearing on the 1010 Most Wanted list. Round your answers to three decimal places.

Suppose that in a recent poll, 550 of the 915 randomly selected U.S. adults agreed with the statement “social media sites like Facebook and Twitter do more to divide the country” (as opposed to unite the country, or neither). a. Use this information to construct a 90% confidence interval.

Debbie and Ethan are going to construct confidence intervals from the same simple random sample.  Debbie's confidence interval will have a 98% confidence interval and Ethan's will have a 95% confidence interval. A. Which confidence interval, if there is a difference will have a larger margin of error? B. Which confidence interval is more likely to cover the population mean, if there is a difference   I am using a Ti84 and need to know how to get the answer.

Imagine that you obtain a random sample of 125 M&M candies, and you notice that 28% of these candies are blue. If we convert the sample percentage of 0.28 to a sample proportion (by dividing 28 by 100), we get 0.28.

8.2  Question 3).  According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, Arkansas had 1,601 complaints of identity theft out of 3,482 consumer complaints ("Consumer fraud and," 2008). Calculate a 90% confidence interval for the proportion of identity theft in Arkansas.

Solve the following question using math: