Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 74 of rhe 83 subjects treared with echinacea developed rhinovirus infections. In a placebo group, 113 of the 130 subjects developed rhinovirus infections. Using a 0.07 significance level, test the claim that echinacea has an effect on rhinovirus infections.
a) Determine the critical value.
b) Determine the test statistic.
c) Decide whether or not we reject or fail to reject the null hypothesis.
d) State whether or not there was sufficient evidence to support the claim.
e) Construct the confidence interval about the difference between the two proportions.
Write the confidence interval as (LowerValue, HigherValue)
critical value =test statistic =[Select Decision]We reject the null hypothesisWe fail to reject the null hypothesisWe accept the alternate hypothesis[Select Conclusion]With a 93% level of confidence, we can say echinacea has an effect on rhinovirus infections.There is not enough evidence to suggest echinacea has an effect on rhinovirus infections.Confidence Interval about p₁-p₂

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