Suppose you wanted to perform a hypothesis test for a single

Suppose you wanted to perform a hypothesis test for a single proportion at the italic alpha equal 0.03 level of significance. Which of the following values of Z would mark the boundaries of the rejection region for this test? Select all that apply!

-2.33

1.96

-2.51

-1.88

1.88

-2.17

2.17

Solution

For 0.03 level of significance we take z which is such that

P(|Z|<z) = 1-0.03 = 0.97 or 97%

Hence on either side of mean area = 97/2 = 48.5% = 0.0485

z corresponding to this = 2.17