Solution Found!
In Exercise, test the given claim.Clinical Trial of
Chapter 11, Problem 15BSC(choose chapter or problem)
Problem 15BSC
In Exercise, test the given claim.
Clinical Trial of Echinacea In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained (based on data from “An Evaluation of Echinacea Angustifolia in Experimental Rhinovirus Infections,” by Turner et al., New England Journal of Medicine, Vol. 353, No. 4). Use a 0.05 significance level to test the claim that getting a cold is independent of the treatment group. What do the results suggest about the effectiveness of echinacea as a prevention against colds?
|
Treatment Group |
||
|
Placebo |
Echinacea: 20% extract |
Echinacea: 60% extract |
Got a Cold |
88 |
48 |
42 |
Did Not Get a Cold |
15 |
4 |
10 |
Questions & Answers
QUESTION:
Problem 15BSC
In Exercise, test the given claim.
Clinical Trial of Echinacea In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained (based on data from “An Evaluation of Echinacea Angustifolia in Experimental Rhinovirus Infections,” by Turner et al., New England Journal of Medicine, Vol. 353, No. 4). Use a 0.05 significance level to test the claim that getting a cold is independent of the treatment group. What do the results suggest about the effectiveness of echinacea as a prevention against colds?
|
Treatment Group |
||
|
Placebo |
Echinacea: 20% extract |
Echinacea: 60% extract |
Got a Cold |
88 |
48 |
42 |
Did Not Get a Cold |
15 |
4 |
10 |
ANSWER:
Answer:
Step 1 of 2
|
Treatment Group |
|||
|
Placebo |
Echinacea: 20% extract |
Echinacea: 60% extract |
Total |
Got a Cold |
88 |
48 |
42 |
178 |
Did Not Get a Cold |
15 |
4 |
10 |
29 |
Total |
103 |
52 |
52 |
207 |
The solution to this problem takes four steps: (1) state the hypotheses, (2) formulate an analysis plan, (3) analyze sample data, and (4) interpret results. We work through those steps below:
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
H0: The claim that the amount of smoking is independent of seat belt use
H1: The claim that the amount of smoking is not independent of seat belt use