STAT 3001 Week 5 Project | Complete Solution
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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
Num Categories: 4
Degrees of freedom: 3
Expected Freq: 16
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
3) State in your own words what the results of the hypothesis test is telling us.
Chi-Square Goodness-of-Fit Test (unequal frequencies)
An opinion poll was taken to see how people felt about Health Care reform. The table lists the number of responses for each option. Test to see if the poll results support previous data collection that showed 31% for, 44% against, and 25% uncertain.
For
Against
Uncertain
Observed
217
223
211
Expected
4) Fill in the expected values (list counts only, not percentages) for the given table.
5) Use the Chi-Square Goodness-of-Fit test to see if there is a difference between observed and
expected values. Set the significance level to .10. Show the Statdisk output.
6) List whether to accept or reject the null hypothesis and why.
7) State in your own words what the results of the hypothesis test is telling us.
Week 5 Project
Chi-Square Test of Independence
Use the following observed values shown in the contingency table to test the independence between early discharge and re-hospitalization of newborns. Use a 0.05 level of significance to test the claim that whether a newborn was discharged early or late is related to whether the newborn was re-hospitalized within a week of discharge. Use the results of the Chi-Square Test of Independence to answer problem numbers 9 - 12.
Yes
No
Early Discharge (less than 30 hours)
622
3997
Late Discharge (30 – 78 hours)
631
4660
Late Discharge ( > 78 hours)
316
2412
8) Run a Chi-Square Test of Independence. Show the Statdisk output.
9) Identify the test statistic. What does the number represent?
10) Identify the P−value. What does the number represent with respect to the study?
11) State your conclusion of the hypothesis test (reject or fail to reject)?
12) State your conclusion about early discharge of newborns in your own words.
[Solved] STAT 3001 Week 5 Project | Complete Solution
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