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

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?

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
MathStatistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

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...

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:

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...

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”.

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...

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...

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.

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 ...

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

A: Sampling distribution of a sample mean: