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In: Statistics and Probability

A random sample of 380 married couples found that 284 had two or more personality perferences...

A random sample of 380 married couples found that 284 had two or more personality perferences in common. In another random sample of 566 married couples, it was found that only 24 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.

(a) Find a 90% confidence interval for p1-p2.
lower limit-
upper limit-

(b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, of both positive and negative numbers?

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