STAT 3001 Week 5 Project: The Chi-Square Test
This assignment includes Chi-Square test solutions for STAT 3001 Week 5 project.
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Week 5 Project
STAT 3001
Week 5 Project: The Chi-Square Test
Chi-Square Goodness-of-Fit Test (equal frequencies)
Four different brands of a pain medication used for chronic back ailments were tested to see if
the number of side effects for each brand were the same. The table lists the results of the reported
number of side effects for each brand of pain medication.
Brand A Brand B Brand C Brand D
23 17 13 11
1) Use the Chi-Square Goodness-of-Fit test to see if there is a difference between the
number of side effects from the different brands of medication. Set the significance level
to .01. Describe the necessary Statdisk steps
Enter the data Click on analysis Select the proper column and enter the significance
level Evaluate.
The obtained output is given below,
Num Categories: 4
Degrees of freedom: 3
Expected Freq: 16
Test Statistic, X^2: 5.2500
Critical X^2: 11.34488
P-Value: 0.1544
2) List the test statistics, p-value and whether to accept or reject the null hypothesis.
Test Statistic, X^2: 5.2500
Critical X^2: 11.34488
P-Value: 0.1544
As the p-value is larger than the significance level so do not reject the null hypothesis.
3) State in your own words what the results of the hypothesis test is telling us.
STAT 3001
Week 5 Project: The Chi-Square Test
Chi-Square Goodness-of-Fit Test (equal frequencies)
Four different brands of a pain medication used for chronic back ailments were tested to see if
the number of side effects for each brand were the same. The table lists the results of the reported
number of side effects for each brand of pain medication.
Brand A Brand B Brand C Brand D
23 17 13 11
1) Use the Chi-Square Goodness-of-Fit test to see if there is a difference between the
number of side effects from the different brands of medication. Set the significance level
to .01. Describe the necessary Statdisk steps
Enter the data Click on analysis Select the proper column and enter the significance
level Evaluate.
The obtained output is given below,
Num Categories: 4
Degrees of freedom: 3
Expected Freq: 16
Test Statistic, X^2: 5.2500
Critical X^2: 11.34488
P-Value: 0.1544
2) List the test statistics, p-value and whether to accept or reject the null hypothesis.
Test Statistic, X^2: 5.2500
Critical X^2: 11.34488
P-Value: 0.1544
As the p-value is larger than the significance level so do not reject the null hypothesis.
3) State in your own words what the results of the hypothesis test is telling us.
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Document Details
University
Walden University
Subject
Statistics