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land.instructure.com/courses/2351325/quizzes 4873637/t? ® (TO) ? Question 9 0.5

ID: 2947492 • Letter: L

Question

land.instructure.com/courses/2351325/quizzes 4873637/t? ® (TO) ? Question 9 0.5 p In a survey of 2065 adults in a certain country conducted during a period o economic uncertainty, 58% thought that the wages paid to workers in industry were too low. The margin of error was 2 percentage points with 95% confidence. Jim's interpretation of the survey results is as follows: we are 95% confident the proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low was between 0.56 and 0.60. Is this interpretation reasonable? If it is not reasonable, explain the flaw. The interpretation is reasonable. The interpretation is flawed. The interpretation indicates that the level of confidence is varying. O. The interpretation is flawed. No interval has been probed about the population proportion. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true.

Explanation / Answer

The interpretation of a confidence interval is always about the population parameter and not the sample statistic. Therefore the given proportion confidence interval states that there is a 0.95 probability that the true population proportion lies in that interval.

Therefore the interpretation is reasonable.