A simple random sample of 8000 residents in a certain U.S. city was polled the w

Question

A simple random sample of 8000 residents in a certain U.S. city was polled the week after the NCAA basketball championship game in 2015 to find out what proportion of TV viewers watched the game, and the resulting 95% confidence interval for this sample was (.55163, .57337). Which of the following statements is TRUE? A. Based on the results of this survey, it would be very unusual to find a sample of 8000 U.S. TV viewers in which less than 4000 residents watched the game. B. Based on the results of this survey, a sample in which 56% of the sample of 8000 U.S. TV viewers watched the game would be unusual. C. If we conducted this survey many times, we could be 100% confident of the results. D. Every sample of 8000 Americans will have a 95% confidence interval of (.55163, .57337)

Explanation / Answer

Answer will be A)

Less than 4000 viewers means a proportion of viewers less than <0.5

Our confidence interval is at 95% means that 95% values lie within the confidence limit

Finding the sample out of the limit in really unusual with proportion or % <0.05 or <5%

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