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.

a) Accept the null hypothesis; the local results follow the U.S. AP examinee population distribution.

b) Reject the null hypothesis; the local results do not follow the U.S. AP examinee population distribution.

c) The test cannot determine whether the local results follow the U.S. AP examinee population distribution.

d) None of the above.

Answer 1

Reject the null hypothesis; the local results do not follow the U.S. AP examinee population distribution.

So. the correct statement is B.

Step-by-step explanation:

The goodness of fit test is used to assess whether observed data conforms to an expected distribution. In this case, rejecting the null hypothesis indicates a significant difference between the local results and the expected U.S.

AP examinee population distribution based on ethnicity. This suggests that there are disparities or variations in the local results compared to the national trend.

A rejection of the null hypothesis implies that the observed data significantly deviates from the expected distribution highlighting the need for further investigation into the factors influencing these differences.

It could be indicative of unique characteristics or challenges within the local context that impact the performance of examinees compared to the broader U.S. population.

Conducting a goodness of fit test involves statistical methods to evaluate the agreement between observed and expected data distributions.

This process is crucial in various fields including education to assess whether local outcomes align with national or predetermined benchmarks. Understanding the nuances of such tests aids in drawing meaningful conclusions from the analysis.

So. the correct statement is B.