Question
Some students want to investigate a claim that women are more likely than men to dream in color you take a random sample of men
Some students 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 (in your community) and ask whether they dream in color then compare the proportions of each gender 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
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