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Suppose the population proportion of computer keyboards that fail is p. To infer about p, a...

Suppose the population proportion of computer keyboards that fail is p. To infer about p, a manufacturer randomly selected 60 keyboards and determined that 6 had failed.

(a) Find an approximate 95% Wald confidence interval for p.

(b) Find an approximate 95% Agresti-Coull confidence interval for p.

(e) Suppose we wish to test H0: p = 0:50 versus Ha: p does not equal 0:50 at the alpha = 0:05 significance level. Based upon your answer in 9.3(b), will the p−value for the test be less than or greater than alpha? Why?

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