In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained. 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? Can we conclude that the prevention against colds relies on the use of echinacea? Treatment Group PlaceboEchinacea: 20% extractEchinacea: 60% extractGot a Cold824541Did Not Get a Cold1129 Round to four decimal places if necessary. a) Write the hypothesesb) The expected frequency of people who used 20% extract of Echinacea and got a cold is . The expected frequency of people who used 40% extract of Echinacea and did not get a cold is .c) significance level: α = d) Test statistic: e) Compute p-value of the test statistic. f) Decision: g) Write conclusion

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Description: In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained. Use a 0.05 significance level to test the claim that getting a cold is independent of the treatment group. What do the results s

(a) In this case, the claim of the test is getting a cold is independent of the treatment group.…

Answered: In a clinical trial of the…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained. 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? Can we conclude that the prevention against colds relies on the use of echinacea?

	Treatment Group
	Placebo	Echinacea: 20% extract	Echinacea: 60% extract
Got a Cold	82	45	41
Did Not Get a Cold	11	2	9

Round to four decimal places if necessary.

a) Write the hypotheses

b) The expected frequency of people who used 20% extract of Echinacea and got a cold is .

The expected frequency of people who used 40% extract of Echinacea and did not get a cold is .

c) significance level: α =

d) Test statistic:

e) Compute p-value of the test statistic.

f) Decision:

g) Write conclusion

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