Use the Chi-Square option in the Nonparametric Tests menu toanswer the questions based on the following scenario. (Assume alevel of significance of .05 and use information from the scenarioto determine the expected frequencies for each category).
Scenario: During the analysis of the district data, it wasdetermined that one high school had substantially higher GraduateExit Exam scores than the state average and the averages of highschools in the surrounding districts. To better understand possiblereasons for this difference, the superintendent conducted severalanalyses. One analysis examined the population of students whocompleted the exam. Specifically, the superintendent wanted to knowif the distribution of special education, regular education, andgifted/talented test takers from the local high school differedfrom the statewide distribution. The obtained data are providedbelow. Description Special Education* Regular EducationGifted/Talented Number of students from the local high school whotook the
Description | Special Education* | Regular Education | Gifted/Talented |
Number of students from the local high schoolwho took the Graduate Exit Exam | 14 | 114 | 22 |
Percent of test-taking students state-wide whotook the Graduate Exit Exam | 7 | 77 | 16 |
*For purposes of testing, special education includes any studentwho received accommodations during the exam.
1. If the student distribution for the local high school did notdiffer from the state, what would be the expected percentage ofstudents in each category?
2. What were the actual percentages of local high schoolstudents in each category? (Report final answer to two decimalplaces)
3. State an appropriate null hypothesis for this analysis.
4. What is the value of the chi-square statistic?
5. What are the reported degrees of freedom?
6. What is the reported level of significance?
7. Based on the results of the one-sample chi-square test, wasthe population of test taking students at the local high schoolstatistically significantly different from the statewidepopulation?
8. Present the results as they might appear in an article. Thismust include a table and narrative statement that reports andinterprets the results of the analysis.
Note: The table must be created using your word processingprogram. Tables that are copied and pasted from SPSS are notacceptable.