Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 96 of the 110 subjects developed rhinovirus infections. Use a 0.01 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? O A. Ho: P1= P2 H: P P2 O B. Ho: P1 2 P2 OC. Ho: P P2 H: P P2 H: P P2 O D. Ho: P1 = P2 H: P1

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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 96 of the 110 subjects
developed rhinovirus infections. Use a 0.01 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?
O A. Ho: P1= P2
H: P1> P2
O B. Ho: P12P2
OC. Ho: P1 =P2
H: P P2
H: P P2
O D. Ho: P1 = P2
H: P1<P2
O E. Ho: P1 #P2
OF Hg: P SP2
H: P1 =P2
H: P P2
Identify the test statistic.
z=
(Round to two decimal places as needed.)
Identifv the P-value.
Click to select your answer(s).
O10 us ♥ O 10:08
CI
backspac
esc
&
4
it
e
r
tab
k
f
V
C
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 96 of the 110 subjects developed rhinovirus infections. Use a 0.01 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? O A. Ho: P1= P2 H: P1> P2 O B. Ho: P12P2 OC. Ho: P1 =P2 H: P P2 H: P P2 O D. Ho: P1 = P2 H: P1<P2 O E. Ho: P1 #P2 OF Hg: P SP2 H: P1 =P2 H: P P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identifv the P-value. Click to select your answer(s). O10 us ♥ O 10:08 CI backspac esc & 4 it e r tab k f V C
mis Test: 200 pts possible
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 96 of the 110 subjects
developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of a = 0.01, so
V the null hypothesis. There
V sufficient evidence to support the claim that echinacea treatment has an effect.
b. Test the claim by constructing arn appropriate confidence interval.
The 99% confidence interval isN< (P, -P2) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
V0, there
appear to be a significant difference between the two proportions. There
evidence to support the claim that echinacea
treatment has an effect.
Click to select your answer(s).
US V O 10:09
Ce
%23
24
6.
7649
t
tab
k
d
f
g.
Transcribed Image Text:mis Test: 200 pts possible Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 96 of the 110 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.01, so V the null hypothesis. There V sufficient evidence to support the claim that echinacea treatment has an effect. b. Test the claim by constructing arn appropriate confidence interval. The 99% confidence interval isN< (P, -P2) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits V0, there appear to be a significant difference between the two proportions. There evidence to support the claim that echinacea treatment has an effect. Click to select your answer(s). US V O 10:09 Ce %23 24 6. 7649 t tab k d f g.
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