If you want to determine if a relationship exists between whether or not a person attended an event at the Performing Arts center and whether or not the person attended an event at the Athletic Center, set up the null and alternative hypotheses to begin your test. Find the p-value in the output. Draw a conclusion about your hypotheses based on this p-value. Be sure to explain your answer. Why did you draw the conclusion that you did?
PART 2: Analysis of a Chi-Square test
Assume that a research study was conducted that included the following survey questions:
Question 1: Have you ever attended an
Question 2: Have you ever attended an event at the city Athletic Center? YES NO
A sample of 93 people answered the survey questions. The research team utilized Minitab statistical software to create the results shown below. You will find a
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CHI-SQUARE TEST FOR ASSOCIATION: PERFORMING ARTS CENTER ATTENDANCE, ATHLETIC CENTER ATTENDANCE
Rows: Performing Arts Center Attendance Columns: Athletic Center Attendance
|
NO |
YES |
All |
|
|
|
|
|
|
|
NO |
15 |
1 |
16 |
|
|
9.634 |
6.366 |
|
|
|
|
|
|
|
YES |
41 |
36 |
77 |
|
|
46.366 |
30.634 |
|
|
|
|
|
|
|
All |
56 |
37 |
93 |
Cell Contents: Count
Expected Count
|
Chi-Square |
DF |
P-Value |
|
|
Pearson |
9.072 |
1 |
0.003 |
|
|
|
|
|
Review the study and the Minitab results. Then answer the following questions:
- If you want to determine if a relationship exists between whether or not a person attended an event at the Performing Arts center and whether or not the person attended an event at the Athletic Center, set up the null and alternative hypotheses to begin your test.
- Find the p-value in the output. Draw a conclusion about your hypotheses based on this p-value. Be sure to explain your answer. Why did you draw the conclusion that you did?
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