To approximate the proportion p of out-of-state students at University A, n samples are taken in...

To approximate the proportion p of out-of-state students at University A, n samples are taken in a survey.

(1) Find the mean and standard deviation of sample proportion p̂.

(2) A survey shows that there are 23 out-of-state students out of 100 students. Find the 95% confidence interval for p.

(3) If we require the estimating error is less than 3% with 95% confidence, how many samples are required at least?

(4) Another sample shows that there are 10 out-of-state students out of 50 students from University B. Find the 95% confidence interval for the difference of two proportions between Universities A and B.

Expert Solution

orchestra answered 2 years ago

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