A researcher wishes to test the effectiveness of a flu vaccination. 150 people are vaccinated, 180 people are vaccinated with a placebo, and 100 people are not vaccinated. The number in each group who later caught the flu was recorded. The results are shown below.   Vaccinated Placebo Control Caught the flu 9 24 21 Did not catch the flu 141 156 79 Use a 0.05 significance level to test the null hypothesis that the proportion of people catching the flu is the same in all three groups.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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A researcher wishes to test the effectiveness of a flu vaccination. 150 people are vaccinated, 180 people are vaccinated with a placebo, and 100 people are not vaccinated. The number in each group who later caught the flu was recorded. The results are shown below.

  Vaccinated Placebo Control
Caught the flu 9 24 21
Did not catch the flu 141 156 79


Use a 0.05 significance level to test the null hypothesis that the proportion of people catching the flu is the same in all three groups.

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