Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 79 of the...

Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea,

of the

subjects treated with echinacea developed rhinovirus infections. In a placebo​ group,

of the

subjects developed rhinovirus infections. Use a

significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts​ (a) through​ (c) below.

a. 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.

​(Round to two decimal places as​ needed.)

Identify the​ P-value.