Answered: Rhino viruses typically cause common…

Name: Rhino viruses typically cause common colds. In a test of the effective
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 101 of the 114 subjects developed rhinovirus infections. Use

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 101 of the 114 subjects developed rhinovirus infections. Use a0.05 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?

H0:

p1=p2

H1:

p1>p2

H0:

p1≤p2

H1:

p1≠p2

H0:

p1=p2

H1:

p1<p2

H0:

p1=p2

H1:

p1≠p2

Your answer is correct.

H0:

p1≥p2

H1:

p1≠p2

H0:

p1≠p2

H1:

p1=p2

Identify the test statistic.

Identify the P-value.

What is the conclusion based on the hypothesis test?

The P-value is____ the significance level of α=0.05, so the null hypothesis. There sufficient evidence to support the claim that echinacea treatment has an effect.

b. Test the claim by constructing an appropriate confidence interval.

The 95% confidence interval is___< (p1−p2)<___.

(Round to three decimal places as needed.)

What is the conclusion based on the confidence interval?

Because the confidence interval limits____ 0, there ___ appear to be a significant difference between the two proportions. There____

evidence to support the claim that echinacea treatment has an effect.

c. Based on the results, does echinacea appear to have any effect on the infection rate?

A.Echinacea does not appear to have a significant effect on the infection rate.

B.Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate.

C.Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate.

D.The results are inconclusive.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions