Test Hypotheses about a Population Proportion
-The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds $35 \%$ , then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 85 have PC's at home. Find the rejection region for this test using $\alpha = 0.10$ .

Question

Test Hypotheses about a Population Proportion -The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds $35 \%$, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 85 have PC's at home. Find the rejection region for this test using $\alpha = 0.10$. A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } > 1.28$. B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 1.28$. C) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } > 1.645$ or $\mathrm { z } < - 1.645$. D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } = 1.28$.

Quizplus · Accepted Answer

The rejection region for a one-tailed test at $\alpha = 0.10$ corresponds to the z-value of 1.28, indicating that if the test statistic z is greater than 1.28, we reject the null hypothesis. This is because the test is checking if the proportion exceeds $35\%$, making it a right-tailed test.

Test Hypotheses About a Population Proportion -The Business College Computing 35%35 \%35%

Test Hypotheses About a Population Proportion
-The Business College Computing $35 \%$