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Section 9.1 Homework Question 2
Section 9.1 Homework
2. Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the 39 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 95 of the 112 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below.
Test the claim using a hypothesis test.
Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test?
Identify the test statistic.
Z=
Identify the P-value.
P-value =
What is the conclusion based on the hypothesis test?
The P-value is _______ the significance level of á=0.05, so _______ the null hypothesis. There _______ sufficient evidence to support the claim that echinacea treatment has an effect.
Test the claim by constructing an appropriate confidence interval.
The 95% confidence interval is ____
What is the conclusion based on the confidence interval?
Because the confidence interval limits ______0, there __________ appear to be a significant difference between the two proportions. There _______ evidence to support the claim that echinacea treatment has an effect.
Based on the results, does echinacea appear to have any effect on the infection rate?
- Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate.
- Echinacea does not appear to have a significant effect on the infection rate.
- Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate.
- The results are inconclusive.