Week 5 Project - STAT 3001 � Instructor Solution
Instructor solution for a statistics project.
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Part I. 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 below 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 33 11
[Hint: Be sure to watch the helper video available on the “Chi-Square Goodness-of-Fit test (equal
frequencies)” before attempting this problem. Instructions for performing this test in STATDISK can be
found in the Statdisk User Manual.]
Instructions Answers
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. Use a
significance level of .01.
Paste results here.
2. What are we trying to show
here?
We are trying to check whether the side effects for
all brands are same.
So, hypotheses to test the above objective are set
as follows:
Null: The number of side effects of pain medicine
are same for all four brands.
Alternative: The number of side effects of pain
medicine are not same for all four brands.
3. What is the p-value and what
does it represent in the
context of this problem?
From the output, the P-vlue = 0.0057
Since the P-value is less than the significance level,
0.01, reject the null hypotheses.
4. State in your own words
what the results of this
Goodness-of-fit test tells us.
Hence, it can be concluded that there is not sufficient
evidence to support the claim that the number of side
effects are not same for all medicines.
Part I. 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 below 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 33 11
[Hint: Be sure to watch the helper video available on the “Chi-Square Goodness-of-Fit test (equal
frequencies)” before attempting this problem. Instructions for performing this test in STATDISK can be
found in the Statdisk User Manual.]
Instructions Answers
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. Use a
significance level of .01.
Paste results here.
2. What are we trying to show
here?
We are trying to check whether the side effects for
all brands are same.
So, hypotheses to test the above objective are set
as follows:
Null: The number of side effects of pain medicine
are same for all four brands.
Alternative: The number of side effects of pain
medicine are not same for all four brands.
3. What is the p-value and what
does it represent in the
context of this problem?
From the output, the P-vlue = 0.0057
Since the P-value is less than the significance level,
0.01, reject the null hypotheses.
4. State in your own words
what the results of this
Goodness-of-fit test tells us.
Hence, it can be concluded that there is not sufficient
evidence to support the claim that the number of side
effects are not same for all medicines.
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Document Details
University
Walden University
Subject
Statistics