1. f the student distribution for the local high school did not differ from the state, what would be the expected percentage of students in each category? 2. What were the actual percentages of local high school students in each category? (Report final answer to two decimal places) State an appropriate null hypothesis for this analysis. 3

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Assignment 7: One-Sample Chi-Square
Directions
Use the Chi-Square option in the Nonparametric Tests menu to answer the questions based on
the following scenario. (Assume a level of significance of .05 and use information from the
scenario to determine the expected frequencies for each category).
Scenario
During the analysis of the district data, it was determined that one high school had substantially
higher Graduate Exit Exam scores than the state average and the averages of high schools in
the surrounding districts. To better understand possible reasons for this difference, the
superintendent conducted several analyses. One analysis exarmined 1ne population of students
who completed the exam. Specifically, the superintendent wanted to know if the distribution of
special education, regular education, and gifteditalented test takers from the Iocal high school
differed from the statewide distribution. The obtained data are provided below.
Gifted/Talented
Special
Education
Regular
Education
Description
Number of students fromm the local high
school who took the Graduate Exit Exam
10
104
26
Percent of test-taking students state-wide
who took the Graduate Exit Exam
77
16
*For purposes of testing, special education includes any student who received accommodations
during the exam.
Questions
If the student distribution for the local high school did not differ from the state, what would be
the expected percentage of students in each category?
2. What were the actual percentages of local high school students in each category? (Report
finai answer to two decimal places)
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, was the population of test taking
students at the local high school statistically significantly different from the statewide
population?
8. Present the results as they might appear in an article. This must include a table and
narrative statement that reports and interprets the results of the analysis.
1.
Note: The table must be created using your word processing program. Tables that are
copied and pasted from SPSS are not acceptable.
Page 1 of 1
Transcribed Image Text:6 7 Tab WE R Y U Caps Lock A D F H G Shift C V N Ctrl Fn Alt LWA Assignment 7: One-Sample Chi-Square Directions Use the Chi-Square option in the Nonparametric Tests menu to answer the questions based on the following scenario. (Assume a level of significance of .05 and use information from the scenario to determine the expected frequencies for each category). Scenario During the analysis of the district data, it was determined that one high school had substantially higher Graduate Exit Exam scores than the state average and the averages of high schools in the surrounding districts. To better understand possible reasons for this difference, the superintendent conducted several analyses. One analysis exarmined 1ne population of students who completed the exam. Specifically, the superintendent wanted to know if the distribution of special education, regular education, and gifteditalented test takers from the Iocal high school differed from the statewide distribution. The obtained data are provided below. Gifted/Talented Special Education Regular Education Description Number of students fromm the local high school who took the Graduate Exit Exam 10 104 26 Percent of test-taking students state-wide who took the Graduate Exit Exam 77 16 *For purposes of testing, special education includes any student who received accommodations during the exam. Questions If the student distribution for the local high school did not differ from the state, what would be the expected percentage of students in each category? 2. What were the actual percentages of local high school students in each category? (Report finai answer to two decimal places) 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, was the population of test taking students at the local high school statistically significantly different from the statewide population? 8. Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of the analysis. 1. Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable. Page 1 of 1
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