Explanation Given info: To test the effectiveness of the drug Echinacea, three treatment groups were taken and were tested by Echinacea. The table is given below: Treatment Group Placebo Echinacea: 20% Extract Echinacea: 60% Extract Got a Cold 88 48 42 Did not get a Cold 15 4 10 Calculation: The claim is to test whether getting a cold is independent of the treatment groups. If the claim is false, then getting affected by cold is dependent of the treatment groups. The hypotheses are given below: Null hypothesis: H 0 : Getting affected by cold is independent of the treatment groups. Alternative hypothesis: H 1 : Getting affected by cold is dependent of the treatment groups. The test statistic is calculated by using the below formula. χ 2 = ∑ ( O − E ) 2 E Where, O represents the observed frequency and E represents the expected frequency Calculation for Chi-square test statistic: Software procedure: Step by step procedure to obtain Chi-square Goodness-of-Fit for One Variable using the MINITAB software: Choose Stat > Tables > Chi-Square Test (Two-Way in Worksheet) . In Columns containing tables , enter the corresponding columns of Placebo, Echinacea 20% Extract and Echinacea 60% Extract

12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 11.3, Problem 15BSC

To determine

To test: The claim that getting a cold is independent of the treatment groups.

To explain: Whether Echinacea is effective in preventing cold.

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Chapter 11.3, Problem 14BSC

Chapter 11.3, Problem 16BSC

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To test: The claim that getting a cold is independent of the treatment groups. To explain: Whether Echinacea is effective in preventing cold.

Solution Summary: The author explains that there is no sufficient evidence to reject the claim that getting a cold is independent of the treatment groups.