In: Statistics and Probability
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 36 of the 43 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 95 of the 109 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections.
Complete parts (a) through (c) below.
a) Conduct an appropriate Hypothesis Test using = 0.01 level of significance to determine if echinacea has an effect on rhinovirus infections. Include a conclusion that is in terms of the problem. 1. (2 pts.) State the Hypothesis: ?0: ?1:
2. (1 pt.) Determine the P-value.
3. (3 pts.) State your decision.
4. (4 pts.) State your conclusion in terms of the problem scenario. b)
Construct a 95% confidence interval to test the claim. Does the confidence interval agree with the conclusion of the hypothesis test? (You only need to include the confidence interval obtained from STATCrunch or Calculator) Explain your answer.