9.1 Q7 Need test statistic, p value, claim, and interval

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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9.1 Q7 Need test statistic, p value, claim, and interval
K
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 39 of the 46 subjects treated with echinacea developed rhinovirus
infections. In a placebo group, 79 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. 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?
OA. Ho: P1 SP2
H₁: P₁ P₂
OD. Ho: P1 P2
H₁: P₁ P2
Identify the test statistic.
z = 5.13
(Round to two decimal places as needed.)
4
OB. Ho: P12P2
H₁: P₁ P2
(...
OE. Ho: P1 P2
H₁: P₁ P2
c. Ho: P1 P2
H₁ P₁
P2
OF. Ho: P1
H₁: P₁
P2
P₂
Transcribed Image Text:K Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 39 of the 46 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 79 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. 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? OA. Ho: P1 SP2 H₁: P₁ P₂ OD. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. z = 5.13 (Round to two decimal places as needed.) 4 OB. Ho: P12P2 H₁: P₁ P2 (... OE. Ho: P1 P2 H₁: P₁ P2 c. Ho: P1 P2 H₁ P₁ P2 OF. Ho: P1 H₁: P₁ P2 P₂
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