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The columns contain the Race/Ethnicity of U.S. Public Schools for a recent year,

ID: 3431144 • Letter: T

Question

The columns 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.

Race/Ethnicity

AP Examinee Population

Overall Student Population

Survey Frequency

Asian, Asian American, or Pacific Islander

10.2%

5.4%

113

Black or African American

8.2%

14.5%

94

Hispanic or Latino

15.5%

15.9%

136

American Indian or Alaska Native

0.6%

1.2%

10

White

59.4%

61.6%

604

Not Reported/Other

6.1%

1.4%

43

Perform a goodness-of-fit test to determine whether the local results follow the distribution of the US overall student population based on ethnicity.

Race/Ethnicity

AP Examinee Population

Overall Student Population

Survey Frequency

Asian, Asian American, or Pacific Islander

10.2%

5.4%

113

Black or African American

8.2%

14.5%

94

Hispanic or Latino

15.5%

15.9%

136

American Indian or Alaska Native

0.6%

1.2%

10

White

59.4%

61.6%

604

Not Reported/Other

6.1%

1.4%

43

Explanation / Answer

The test hypothesis:

Ho: the local results follows the distribution of the US overall student population based on ethnicity (i.e. null hypothesis)

Ha: the local results does not follow the distribution of the US overall student population based on ethnicity (i.e. alternative hypothesis)

observed expected O - E (O - E)