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please clarify how to obtain the answer on ti84 plus please random sample of 388 married...

please clarify how to obtain the answer on ti84 plus please

random sample of 388 married couples found that 280 had two or more personality preferences in common. In another random sample of 582 married couples, it was found that only 38 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 p1p2. (Use 3 decimal places.)

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Most married couples have two or three personality preferences in common. A random sample of 374 married couples found that 120 had three preferences in common. Another random sample of 590 couples showed that 208 had two personality preferences in common. Let p1 be the population proportion of all married couples who have three personality preferences in common. Let p2 be the population proportion of all married couples who have two personality preferences in common.

(a) Find a 95% confidence interval for p1p2. (Use 3 decimal places.)

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