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.

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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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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. Question Help: Message instructor Submit Question Σ Il C
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