SOLUTION: x1 = 36, n1 = 64 and x2 = 47, n2 = 71; A) Construct a 95% confidence interval for the difference between population proportions p1 - p2. B) Write a statement that correctly inter

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Question 1159475: x1 = 36, n1 = 64 and x2 = 47, n2 = 71;
A) Construct a 95% confidence interval for the difference between population proportions p1 - p2.
B) Write a statement that correctly interprets the confidence interval.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
This is (-0.06447, 0.2634), have to reverse calculator output, because p1 hat- p2 hat is negative, so most of the CI should be negative as well.
Because 0 is in the interval, we can be highly confident that there is no significant difference in these two proportions given the data that we have. There is a difference in the sample proportions, but there is insufficient evidence to suggest that these samples came from different populations.

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