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Use the following information to answer the next two exercises: The columns in Table contain the

Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for the Advanced Placement Examinee Population for that class, and the Overall Student Population. Suppose the right column contains the result of a survey of 1,000 local students from that year who took an AP Exam.

Islander 10.20%5.40%113Black or African-American 8.20%14.50%94Hispanic or Latino 15.50%15.90%136 American Indian or Alaska Native0.60%1.20%10White 59.40%61.60%604Not reported/other 6.10%1.40%43

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

Expert verified

The data are insufficient to determine if the local result are representative of the AP examinee population in the U.s.. The data are insufficient to determine if the local results are representative of the AP examinee population in the U.s..

Step by step solution

01

Given Information

Given information are in the table

Total frequency is 1000

02

Explanation

Degree of freedom df = n-1

χ2=k(O-E)2E

H0=The local results follow the distribution of the U.S. AP examinee population

Ha=The local results do not follow the distribution of the U.S. AP examinee population

df =6-1=5

χ2=13.43

α=0.05

p=0.0199

When, α=0.05the null hypothesis is rejected since pequals <a. As a result, the local results do not match the distribution of the AP examinee population across the United States.

Whenα=0.01, the null hypothesis is not rejected. As a result, the data are insufficient to determine if the local results are representative of the US AP examinee population.

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Table11.43

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