Pain medications have side effects where one common side effect is dizziness. A researcher wanted to determine whether some pain medications produce more or less dizziness than others. The results from his study are shown below in the table. Apply a test for homogeneity to determine whether the proportion of people taking a pain medication within each treatment group that experience dizziness are the same at the a= 0.01 level of significance. Dizziness No dizziness Tordol Placebo 83 32 4,063 1,832 Naproxen 36 1,330 Tylenol 5 382 a. Determine the null and alternative hypotheses. OH: The proportion of people within each treatment group who experienced dizziness are the same. Ha: The proportion of people within each treatment group who experienced dizziness are different. Advil 8 337 O Ho:The proportion of people within each treatment group who experienced dizziness are independent. Ha: The proportion of people within each treatment group who experienced dizziness are dependent. d. Make a decision. b. Determine the test statistic. Round your answer to two decimal places. x². c. Determine the p-value. Round your answer to four decimal places. p-value= O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that the proportion of people within each treatment group who experienced dizziness are different. O There is sufficient evidence to support the claim that proportion of people within each treatment group who experienced dizziness are different.
Pain medications have side effects where one common side effect is dizziness. A researcher wanted to determine whether some pain medications produce more or less dizziness than others. The results from his study are shown below in the table. Apply a test for homogeneity to determine whether the proportion of people taking a pain medication within each treatment group that experience dizziness are the same at the a= 0.01 level of significance. Dizziness No dizziness Tordol Placebo 83 32 4,063 1,832 Naproxen 36 1,330 Tylenol 5 382 a. Determine the null and alternative hypotheses. OH: The proportion of people within each treatment group who experienced dizziness are the same. Ha: The proportion of people within each treatment group who experienced dizziness are different. Advil 8 337 O Ho:The proportion of people within each treatment group who experienced dizziness are independent. Ha: The proportion of people within each treatment group who experienced dizziness are dependent. d. Make a decision. b. Determine the test statistic. Round your answer to two decimal places. x². c. Determine the p-value. Round your answer to four decimal places. p-value= O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that the proportion of people within each treatment group who experienced dizziness are different. O There is sufficient evidence to support the claim that proportion of people within each treatment group who experienced dizziness are different.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Transcribed Image Text:Pain medications have side effects where one common side effect is dizziness. A researcher wanted to determine whether
some pain medications produce more or less dizziness than others. The results from his study are shown below in the
table. Apply a test for homogeneity to determine whether the proportion of people taking a pain medication within each
treatment group that experience dizziness are the same at the a= 0.01 level of significance.
Tordol Placebo Naproxen Tylenol
Advil
8
Dizziness
No dizziness
4,063
1,832
a. Determine the null and alternative hypotheses.
O Ho: The proportion of people within each treatment group who experienced dizziness are the same.
H.: The proportion of people within each treatment group who experienced dizziness are different.
OH :The proportion of people within each treatment group who experienced dizziness are independent.
H₁ : The proportion of people within each treatment group who experienced dizziness are dependent.
b. Determine the test statistic. Round your answer to two decimal places.
x²
1,330
c. Determine the p-value. Round your answer to four decimal places.
p-value =
d. Make a decision.
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
e. Make a conclusion.
There is not sufficient evidence to support the claim that the proportion of people within each treatment
group who experienced dizziness are different.
O There is sufficient evidence to support the claim that proportion of people within each treatment group who
experienced dizziness are different.
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