Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 38 of the 43 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 86 of the 103 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. Ho: P1 = P2 H1: P1 #P2 O B. Ho: P1 = P2 O C. Ho: P1 # P2 H1: P1 = P2 H1: P1 P2 Identify the test statistic.

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
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 38 of the 43 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 86 of the 103 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?
O C. Ho: P1 + P2
A. Ho: P1 = P2
H1: P1 # P2
O B. Ho: P1 = P2
H1: P1 <P2
H1: P1 = P2
O D. Ho: P1 SP2
H1: P1 # P2
O E. Ho: P1 = P2
H1: P1 > P2
O F. Ho: P1 2 P2
H1: P1 #P2
Identify the test statistic.
Z =
(Round to two decimal places as needed.)
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 38 of the 43 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 86 of the 103 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? O C. Ho: P1 + P2 A. Ho: P1 = P2 H1: P1 # P2 O B. Ho: P1 = P2 H1: P1 <P2 H1: P1 = P2 O D. Ho: P1 SP2 H1: P1 # P2 O E. Ho: P1 = P2 H1: P1 > P2 O F. Ho: P1 2 P2 H1: P1 #P2 Identify the test statistic. Z = (Round to two decimal places as needed.)
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2974 occupants not wearing seat
belts, 29 were killed. Among 7614 occupants wearing seat belts, 19 were killed. Use a 0.01 significance level to test the claim
that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of
occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P1 = P2
H1: P1 <P2
O B. Ho: P1 S P2
H1: P1 # P2
OC. Ho: P1 = P2
H4: P1 > P2
O D. Ho: P1 # P2
H1: P1 = P2
O E. Ho: P1 = P2
H1: P1 # P2
O F. Ho: P1 2 P2
H1: P1 +P2
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2974 occupants not wearing seat belts, 29 were killed. Among 7614 occupants wearing seat belts, 19 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 = P2 H1: P1 <P2 O B. Ho: P1 S P2 H1: P1 # P2 OC. Ho: P1 = P2 H4: P1 > P2 O D. Ho: P1 # P2 H1: P1 = P2 O E. Ho: P1 = P2 H1: P1 # P2 O F. Ho: P1 2 P2 H1: P1 +P2 Identify the test statistic. Z= (Round to two decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax