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A random sample of 366 married couples found that 298 had two or more personality preferences...

A random sample of 366 married couples found that 298 had two or more personality preferences in common. In another random sample of 574 married couples, it was found that only 22 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 99% confidence interval for p1 – p2. (Use 3 decimal places.)

lower limit    
upper limit    

(b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 99% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common?

math   Statistics-And-Probability   
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