Qu Quiz 5-Chapters 9 and 1 X ?e 51325/quizzes/4873637a Search D 110% https://kir

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Qu Quiz 5-Chapters 9 and 1 X ?e 51325/quizzes/4873637a Search D 110% https://kirtland.instr In a survey of 2065 adults in a certain country conducted during a period of 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. Amy's interpretation of the survey results is as follows: we are 95% confidence 58% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. Is this interpretation reasonable? If it is not reasonable, explain the flaw. O The interpretation is reasonable. O The interpretation is flawed. No Interval has been provided about the population The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true O o The interpretation is flawed. The interpretation indicates that the level of confidence is varying

Explanation / Answer

As the margin of error given is 2%, therefore the confidence interval for the population proportion here would be given as ( 56%, 60%) at the 95% confidence level. Therefore we are 95% confident that the population proportion lies within the confidence interval (56%, 60%) and not exactly 58%.

Therefore the interpretation is flawed as we are given an exact value 58% as the interpretation, there should be a confidence interval instead.

Therefore B is the correct answer here.

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