Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit = upper limit=
Most married couples have two or three personality preferences in common. A random sample of 362 married couples found that 138 had three preferences in common. Another random sample of 552 couples showed that 218 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 p1 – p2. (Use 3 decimal places.)
lower limit =
upper limit=
For sample 1, sample size n1 = 362, and number of couples who have three personality preferences in common, X1 = 138
For sample 2, sample size n2 = 552, and number of couples who have two personality preferences in common, X2 = 218
The critical value of Z at 95% confidence level is 1.96
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