A new cold medication claims that, on average, individuals who take the medication recover within 5 days. Dr. Nelson believes the recovery time is longer. She surveys 31 people with colds who take the medication. She finds that their recovery time, in days, is as follows: 7, 5, 4, 8, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 4, 7, 5, 7, 4, 6, 4, 3, 5, 7, 8, 4, 7, 4, 6, 4, 6 Perform a hypothesis test using a 9% level of significance. Step 1: State the null and alternative hypotheses. Ho: pV (So we will be performing a right-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P(& v ) = P(tv 2v p-value = %3D Step 4: Make a Conclusion About the null hypothesis. Since the p-value = = a, we do not reject the null %3D hypothesis. We cannot reject the claim that, on average, individuals who take the medication recover
A new cold medication claims that, on average, individuals who take the medication recover within 5 days. Dr. Nelson believes the recovery time is longer. She surveys 31 people with colds who take the medication. She finds that their recovery time, in days, is as follows: 7, 5, 4, 8, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 4, 7, 5, 7, 4, 6, 4, 3, 5, 7, 8, 4, 7, 4, 6, 4, 6 Perform a hypothesis test using a 9% level of significance. Step 1: State the null and alternative hypotheses. Ho: pV (So we will be performing a right-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P(& v ) = P(tv 2v p-value = %3D Step 4: Make a Conclusion About the null hypothesis. Since the p-value = = a, we do not reject the null %3D hypothesis. We cannot reject the claim that, on average, individuals who take the medication recover
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question

Transcribed Image Text:A new cold medication claims that, on average, individuals who take the medication recover within 5
days. Dr. Nelson believes the recovery time is longer. She surveys 31 people with colds who take the
medication. She finds that their recovery time, in days, is as follows:
7, 5, 4, 8, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 4, 7, 5, 7, 4, 6, 4, 3, 5, 7, 8, 4, 7, 4, 6, 4, 6
Perform a hypothesis test using a 9% level of significance.
Step 1: State the null and alternative hypotheses.
H.: pv >v
(So we will be performing a right-tailed
Vv test.)
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
point estimates using the Central Limit Theorem.
By the Central Limit Theorem, we know that the point estimates are t-distributed
v with
distribution mean
and distribution standard deviation
Step 3: Find the p-value of the point estimate.
P( 2v
= P(tv 2v
%3D
p-value =
Step 4: Make a Conclusion About the null hypothesis.
Since the p-value =
= a, we do not reject
the null
hypothesis.
O We cannot reject the claim that, on average, individuals who take the medication recover
within 5 cdays
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps

Knowledge Booster
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

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman