A random sample of 360 married couples found that 290 had two or more personality preferences in common In another random sample

Question

A random sample of 360 married couples found that 290 had two or more personality preferences in common In another random sample of 584 married couples it was found that only 26 had no preferences in common Let p be the population proportion of all married couples who have two or more personality preferences in common Let p be the population proportion of all married couples who have no personality preferences in common USE SALT a Can a normal distribution be used to approximate the p P distribution Explain The data constitute two independent n np the normal distribution can samples Calculating the following quantities n and n we see that all these quantities are greater than 5 be used to approximate the P P distribution b Find a 99 confidence interval for P Round your numerical values to three decimal places So P Enter your answer in the form lower limit to upper limit Include the word to

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