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You want to investigate a claim that women are more likely than men to dream in

ID: 3155516 • Letter: Y

Question

You want to investigate a claim that women are more likely than men to dream in color. You take a random sample of men and a random sample of women and ask whether they dream in color, and compare the proportions of each sex that dream in color.

suppose a 95% confident interval for the difference in population proportions of men and women that dream in color is determined to be (-0.289, 0.022). Which of the following is the best interpretation of this interval?

A. we are 95% confident that there is a difference in the population proportions because most of the values in this interval are negative

B. we are 95%confident that there is not a difference in the population proportions because zero is contained in this confidence interval

C. We are 95% confident that the mean number who dream in color is uo to .0289 smaller for population 1 and up to 0.022 smaller for population 2

D. If we repeated the study again, with the same sample size, and computed the difference in sample proportions, we are 95% confident this difference will be between -0.289 and 0.022

Explanation / Answer

The best interpretation of this interval is:

D. If we repeated the study again, with the same sample size, and computed the difference in sample proportions, we are 95% confident this difference will be between -0.289 and 0.022

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