Testing Claims About Proportions.  In Exercises 7–22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Smoking Cessation Programs Among 198 smokers who underwent a “sustained care” program, 51 were no longer smoking after six months. Among 199 smokers who underwent a “standard care” program, 30 were no longer smoking after six months (based on data from “Sustained Care Intervention and Postdischarge Smoking Cessation Among Hospitalized Adults,” by Rigotti et al., Journal of the American Medical Association, Vol. 312, No. 7). We want to use a 0.01 significance level to test the claim that the rate of success for smoking cessation is greater with the sustained care program.a. Test the claim using a hypothesis test.b. Test the claim by constructing an appropriate confidence interval.c. Does the difference between the two programs have practical significance?

Question
Asked Jan 25, 2020
1 views

Testing Claims About Proportions.  In Exercises 7–22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. 

Smoking Cessation Programs Among 198 smokers who underwent a “sustained care” program, 51 were no longer smoking after six months. Among 199 smokers who underwent a “standard care” program, 30 were no longer smoking after six months (based on data from “Sustained Care Intervention and Postdischarge Smoking Cessation Among Hospitalized Adults,” by Rigotti et al., Journal of the American Medical Association, Vol. 312, No. 7). We want to use a 0.01 significance level to test the claim that the rate of success for smoking cessation is greater with the sustained care program.

a. Test the claim using a hypothesis test.

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

c. Does the difference between the two programs have practical significance?

check_circle

Expert Answer

Step 1

a.

The hypotheses are given below:

Statistics homework question answer, step 1, image 1
fullscreen
Step 2
Statistics homework question answer, step 2, image 1
fullscreen
Step 3

P-value:

Since the test statistic is 2.64 and the hypothesis test is right-tailed, the P value using standard normal table is 0.0042.

Decision rule based on P-value:

If P-value less than or equal to the level of significance, then reject the null hypothesis. Otherwise, do not reject the null hypothesis.

The P-value is 0.004 and the significance level is 0.01.

Here, the P-value is less than the significa...

Statistics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Suppose that a sample is to be taken without replacement from a finite population of size N. If the ...

A: a).Since the sample is to be taken without replacement, there is a possibility of only one sample. B...

question_answer

Q: In Exercises, we have given the value obtained for the test statistic, z, in a one-mean z-test. We h...

A: a).The p-value can be obtained by entering the formula “=2*NORM.S.DIST(-3.08,TRUE)” in Excel:

question_answer

Q: In Exercises, hypothesis tests are proposed. For each hypothesis test, a.determine the null hypothes...

A: a).Let µ be the mean RDA of the iron.The null hypothesis for the test is given below:Null Hypothesis...

question_answer

Q: Regarding the term null hypothesis: a. Originally, what did the word null in null hypothesis stand f...

A: a).The word Null in the null hypothesis stands for “No Difference”.

question_answer

Q: Which provides stronger evidence against the null hypothesis, a P-value of 0.06 or a P-value of 0.04...

A: Decision criterion:If the p-value of the test is less than or equal to the level of significance, re...

question_answer

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Given Data:Number of deaths before thanksgiving = 6062Number of deaths after thanksgiving = 5938Ther...

question_answer

Q: What is the relation between the significance level of a hypothesis test and the probability of maki...

A: Type I error:Probability of rejecting the null hypothesis when it is actually true.

question_answer

Q: In this section we introduced a descriptive measure of the utility of the multiple linear regression...

A: a).Coefficient of multiple determination:The coefficient of multiple determination is a descriptive ...

question_answer

Q: Although, in general, you cannot know the sampling distribution of the sample mean exactly, by what ...

A: Sampling distribution of a sample mean: