Homework SourseThe columns contain the RaceEthnicity of US Public Schools f
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 |
Solution
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) |
