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
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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