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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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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.
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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
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