Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 47 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 99 of the 114 subjects developed rhinovirus infection a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. 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: Pi Z P2 H,: P1 * P2 O B. Ho: P1 =P2 H: P, P2 Identify the test statistic. (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? V the null hypothesis. There V sufficient evidence to support the claim that echinacea treatment has an effect. The P-value is V the significance level of a =0.01, so b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is< (P, -P2)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
icon
Related questions
Topic Video
Question
Question Help
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 47 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 99 of the 114 subjects developed rhinovirus infections. U
a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below.
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 C. Ho: P1 # P2
O A. Ho: P1 2 p2
H4:P1 #P2
B. Ho: P1 = P2
H1: P1 <P2
H1: P1 =P2
O E. Ho: P1 SP2
H: P, #P2
O F. Ho: P1 = P2
H1:P1 >P2
D. Ho: P1 = P2
H4:P1 #P2
Identify the test statistic.
(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 null hypothesis. There
sufficient evidence to support the claim that echinacea treatment has an effect.
The P-value is
the significance level of a = 0.01, so
b. Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is < (P1-P2) <LU
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
evidence to support the claim that echinacea treatment has an effect.
0, there
appear to be a significant difference between the two proportions. There
Because the confidence interval limits
c. Based on the results, does echinacea appear to have any effect on the infection rate?
A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate.
B. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate.
OC. Echinacea does not appear to have a significant effect on the infection rate.
D. The results are inconclusive.
Transcribed Image Text:Question Help Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 47 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 99 of the 114 subjects developed rhinovirus infections. U a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. 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 C. Ho: P1 # P2 O A. Ho: P1 2 p2 H4:P1 #P2 B. Ho: P1 = P2 H1: P1 <P2 H1: P1 =P2 O E. Ho: P1 SP2 H: P, #P2 O F. Ho: P1 = P2 H1:P1 >P2 D. Ho: P1 = P2 H4:P1 #P2 Identify the test statistic. (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 null hypothesis. There sufficient evidence to support the claim that echinacea treatment has an effect. The P-value is the significance level of a = 0.01, so b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is < (P1-P2) <LU (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? evidence to support the claim that echinacea treatment has an effect. 0, there appear to be a significant difference between the two proportions. There Because the confidence interval limits c. Based on the results, does echinacea appear to have any effect on the infection rate? A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. B. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. OC. Echinacea does not appear to have a significant effect on the infection rate. D. The results are inconclusive.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax