Assignment #8: Chi-Square Test of Independence Directions: Use the Crosstabs opt
ID: 3291392 • Letter: A
Question
Assignment #8: Chi-Square Test of Independence
Directions: Use the Crosstabs option in the Descriptives menu to answer the questions based on the following scenario. (Be sure to select Chi-square from the Statistics submenu and Observed, Expected, Row, and Column in the Cells submenu. Assume a level of significance of .05)
The superintendent is interested in determining if student participation in sports is related to performance on the Graduate Exit test of a local high school. The superintendent obtained the performance scores for the test-taking students and recorded their type of sports participation (none, one sport, multiple sports). The superintendent reported the performance scores as proficient or not proficient. The resulting data are provided below:
Proficient
Sports Participation
None
One Sport
Multiple Sports
Yes
52
52
26
No
32
15
17
1. Of the students that were proficient, what percent of the participates were in no sports, one sport, and multiple sports? (Round your answer to 1 decimal place).
2. 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.
PLEASE COULD U HELP ME BECAUSE THE DUE DATE IS TODAY?
Proficient
Sports Participation
None
One Sport
Multiple Sports
Explanation / Answer
1. Percent of participates in no sports = 52/ 130 = 0.4
Percent of participates in one sport = 52/ 130 = 0.4
Percent of participates in multiple sport = 52/ 130 = 0.2
2. CHi - square test hypothesis
H0 : student participation in sports is independent to performance on the Graduate Exit test of a local high school.
Ha : student participation in sports is independent to performance on the Graduate Exit test of a local high school.
Observed Table
Expected Table
X2 = (Oi - Ei )2 / Ei
CHi- square table
Here X2 = 5.23
and X2cr= 5.991 for dF = 2 and alpha = 0.05
so X2 < X2cr
so we cannot reject the null hypotheiss and can conclude that student participation in sports is independent to performance on the Graduate Exit test of a local high school.
Proficient None One sport Multi sport Total yes 52 52 26 130 no 32 15 17 64 Total 84 67 43 194