Rhino viruses typically cause common colds. In a test of the effectiveness of ec

Question

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 81 of the 95 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections.

-Test the claim using a hypothesis test.

-Find the test statistic.

-Find the P-value.

-Test the claim by constructing an appopriate confidence interval.

-Based on the results does echinacea appear to have any effect on the infection rate?

Explanation / Answer

P1 = 45/52 = 0.865

P2 =81 / 95= 0.853

P = (45+81) / (52+95) = 0.857

Ho : p1 = p2

H1 : p1 is different from p2

Z = 0.865 - 0.853 / SRQT ( 0.857*0.143*(1/52 + 1/95 ) )

Z = 0.1987

p value : 0.4207

since p value is greater than 0.05 we fail to reject Ho

echinacea appear to not have any effect on the infection rate!

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