Question

Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity.

Short answer

There is insufficient evidence to conclude that local data do not follow the distribution of the U.S. AP examinee distribution.

Step-by-step solution

Given Information

A goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity.

Explanation

$H_0$: The local results follow the distribution of the U.S. AP examinee population.

$H_0$: The local results do not follow the distribution of the U.S. AP examinee population.

The degrees of freedom $df=5$.

chi-square distribution with $df=5$

chi-square test statistic $=13.4$.

$p$-value $=0.0199$.

Explanation

$\alpha =0.05$.

Decision: Reject null when $a=0.05$.

Reason for Decision: $p$-value $<\alpha$.

Conclusion: Local data do not fit the AP Examinee Distribution.

Decision: Do not reject null when $a=0.01$.

Conclusion: There is insufficient evidence to conclude that local data do not follow the distribution of the U.S. AP examinee distribution.

Final Answer

There is insufficient evidence to conclude that local data do not follow the distribution of the U.S. AP examinee distribution.