A random sample of378married couples found that298had two or more personality preferences in common. In another random sample of570married couples, it was found that only40had no preferences in common. Letp₁be the population proportion of all married couples who have two or more personality preferences in common. Letp₂be the population proportion of all married couples who have no personality preferences in common.(a) Find a90%confidence interval forp₁-p₂. (Use 3 decimal places.)

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