Question: Suppose the sample in Exercise 7.64 has produced p = .83 and we wish to test H0: p = .9 against the alternative Ha: p

Suppose the sample in Exercise 7.64 has produced p̂ = .83 and we wish to test H0: p = .9 against the alternative Ha: p < .9.

a. Calculate the value of the z-statistic for this test.

b. Note that the numerator of the z-statistic (p̂ - p0 = .83 - .90 = - .07) is the same as for Exercise 7.64. Considering this, why is the absolute value of z for this exercise larger than that calculated in Exercise 7.64?

c. Complete the test using α = .05 and interpret the result.

d. Find the observed significance level for the test and interpret its value.

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