Pain medications sometimes come with side effects.  One side effect is dizziness.  A researcher wanted to determine if some pain medications produced more or less dizziness than others.  The results from his study are shown in the table below. Use a test to determine if the proportion of people within each treatment group  who experienced dizziness are the same at the α = .01 level of significance.   Tordol Placebo Naproxen Tylenol Advil Dizziness 83 32 36 5 8 No dizziness 4063 1832 1330 382 337 1) Determine the null and alternative hypotheses. Select the correct pair.   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 Ho: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   2) Determine the test Statistic. Round your answer to two decimals. χ2 =  3) Determine the p-value. Round your answer to four decimals. p-value =  4) Make a decision.   Fail to reject the null hypothesis Reject the null hypothesis   5) Pick a conclusion.   There is sufficient evidence to support the claim that proportion of people within each treatment group  who experienced dizziness are different There is not sufficient evidence to support the claim that the 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
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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 Pain medications sometimes come with side effects.  One side effect is dizziness.  A researcher wanted to determine if some pain medications produced more or less dizziness than others.  The results from his study are shown in the table below. Use a test to determine if the proportion of people within each treatment group  who experienced dizziness are the same at the α = .01 level of significance.

  Tordol Placebo Naproxen Tylenol Advil
Dizziness 83 32 36 5 8
No dizziness 4063 1832 1330 382 337

1) Determine the null and alternative hypotheses. Select the correct pair.

 

  • 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
  • Ho: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

 

2) Determine the test Statistic. Round your answer to two decimals.

χ2 = 

3) Determine the p-value. Round your answer to four decimals.

p-value = 

4) Make a decision.

 

  • Fail to reject the null hypothesis
  • Reject the null hypothesis

 

5) Pick a conclusion.

 

  • There is sufficient evidence to support the claim that proportion of people within each treatment group  who experienced dizziness are different
  • There is not sufficient evidence to support the claim that the proportion of people within each treatment group  who experienced dizziness are different
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