Most married couples have two or three personality preferences in common. A random sample of 384 married couples found that 136 had three preferences in common. Another random sample of 588 couples showed that 214 had two personality preferences in common. Let p_{1} be the population proportion of all married couples who have three personality preferences in common. Let p_{2} be the population proportion of all married couples who have two personality preferences in common.
(a) Find a 95% confidence interval for p_{1} – p_{2}. (Use 3 decimal places.)
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Refer Standard normal table/Z-table or use excel function "=NORM.S.INV((1-0.025))" to find the critical value of z. |
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