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 H₂= P₁ = P₂ H₁: Pg >P₂ OD. Ho: P₁ P₂ H₁: P₁ #P₂ Identify the test statistic. 2=0 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? OB. Ho: P₁ P₂ H₁: P₁ = P₂ OE H₂: P₁ SP₂ H₁: P₁ #P₂ The P-value is treatment has an effect. b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is < (P₁-P₂) <- (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? the significance level of a = 0.01, so the null hypothesis. There Because the confidence interval limits the claim that echinacea treatment has an effect. c. Based on the results, does echinacea appear to have any effect on the infection rate? 0, there OC. Ho: P₁ P₂ H₁: P₁

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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 40 of the 46 subjects treated with echinacea developed rhinovirus infections. In a placebo
group, 93 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?
OA H₂: P₁ = P₂
H₁: P₁ P₂
O D. Ho: P₁ P₂
H₁: P₁ P2
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
treatment has an effect.
OB. Ho: P₁ P₂
H₁: P₁ = P₂
O E. Ho: P₁ SP₂
H₁: P₁ #P₂
the significance level of x = 0.01, so
b. Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is < (P₁-P₂) <.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
0, there
the null hypothesis. There
Because the confidence interval limits
the claim that echinacea treatment has an effect.
c. Based on the results, does echinacea appear to have any effect on the infection rate?
OC. Ho: P₁ = P₂
H₁: P₁ <P₂
OF. Ho: P₁ = P₂
H₁: P₁ #P2
sufficient evidence to support the claim that echinacea
appear to be a significant difference between the two proportions. There
evidence to support
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 40 of the 46 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 93 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? OA H₂: P₁ = P₂ H₁: P₁ P₂ O D. Ho: P₁ P₂ H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is treatment has an effect. OB. Ho: P₁ P₂ H₁: P₁ = P₂ O E. Ho: P₁ SP₂ H₁: P₁ #P₂ the significance level of x = 0.01, so b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is < (P₁-P₂) <. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? 0, there the null hypothesis. There Because the confidence interval limits the claim that echinacea treatment has an effect. c. Based on the results, does echinacea appear to have any effect on the infection rate? OC. Ho: P₁ = P₂ H₁: P₁ <P₂ OF. Ho: P₁ = P₂ H₁: P₁ #P2 sufficient evidence to support the claim that echinacea appear to be a significant difference between the two proportions. There evidence to support
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