# A random sample of 376 married couples found that 296 had two or more personality preferences in common. In another random sample of 550 married couples, it was found that only 34 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 95% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit upper limit

Question

A random sample of 376 married couples found that 296 had two or more personality preferences in common. In another random sample of 550 married couples, it was found that only 34 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 95% confidence interval for p1 – p2. (Use 3 decimal places.)
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upper limit