Find the rejection region for the standardized test statisti

Find the rejection region (for the standardized test statistic) for each hypothesis test.

H0:=17 vs. Ha:<17 @ =0.01.

H0:=880 vs. Ha:880 @ =0.01.

H0:=12 vs. Ha:>12 @ =0.05.

Solution

Find the rejection region (for the standardized test statistic) for each hypothesis test.
H0:=17 vs. Ha:<17 @ =0.01.

As this is a left tailed test, at 0.01 level, by table/technology,

Reject Ho if z < -2.326347874. [ANSWER]

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H0:=880 vs. Ha:880 @ =0.01.

As this is a two tailed test, at 0.01 level, by table/technology,

Reject Ho if z < -2.575829304 OR z > 2.575829304. [ANSWER]

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H0:=12 vs. Ha:>12 @ =0.05.

As this is a right tailed test, at 0.05 level, by table/technology,

Reject Ho if z > 1.644853627. [ANSWER]