Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 38 of the 44 subjects treate with echinacea developed rhinovirus infections. In a placebo group, 90 of the 107 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on minovirus 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? A.
H_(0):p_(1)=p_(2)
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B.
H_(0):p_(1)!=p_(2)
C.
H_(0):p_(1)>=p_(2)
H_(1):p_(1)>p_(2)
H_(1):p_(1)=p_(2)
H_(1):p_(1)!=p_(2)
D.
H_(0):p_(1)=p_(2)
H_(1):p_(1)!=p_(2)
E.
H_(0):p_(1)<=p_(2)
H_(1):p_(1)!=p_(2)
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F.
H_(0):p_(1)=p_(2)
z=◻H_(1):p_(1)
Identify the test statistic.
z= ◻
(Round to two decimal places as needed.)