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 96 subjects developed rhinovirus infections. Use a 0.05 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?     A. H0​: p1≤p2 H1​: p1≠p2   B. H0​: p1=p2 H1​: p1p2 Identify the test statistic.   z= ​(Round to two decimal places as​ needed.) Identify the​ P-value.   ​P-value=

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
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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
96
subjects developed rhinovirus infections. Use a
0.05
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?
 
 
A.
H0​:
p1≤p2
H1​:
p1≠p2
 
B.
H0​:
p1=p2
H1​:
p1<p2
 
C.
H0​:
p1≠p2
H1​:
p1=p2
 
D.
H0​:
p1=p2
H1​:
p1≠p2
 
E.
H0​:
p1≥p2
H1​:
p1≠p2
 
F.
H0​:
p1=p2
H1​:
p1>p2
Identify the test statistic.
 
z=
​(Round to two decimal places as​ needed.)
Identify the​ P-value.
 
​P-value=
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Peterson, John.
Publisher:
Cengage Learning,