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A 99% confidence interval for the difference between two population proportions

ID: 3151510 • Letter: A

Question

A 99% confidence interval for the difference between two population proportions is (.032,.092). Which of the following statements are true? A There is a 1% chance that the real difference is less than.032 and a 1% chance the real difference is greater than.092. B We are 99% confident that the real difference in population proportions is between.032 and.092. C There is a 99% chance this interval contains the difference in the population proportions.. D We are sure the that the population proportion for the first group is greater than the population proportion of the second group.

Explanation / Answer

Option B is right

B) We are 99% confident that the real difference in population proportions is between 0.032 and 0.092

99% confidence means that as sample sizes grow and a large no of samples taken, the difference between two population proportions is expected to fall within 0.032 and 0.092 and the chance for this 99%

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