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Chapter 10: Q 26. (page 642)

Lowering bad cholesterol Refer to Exercise 24.

a. Construct and interpret a 95% confidence interval for the difference between the true proportions. Assume that the conditions for inference are met.

b. Explain how the confidence interval provides more information than the test in

Exercise 24.

Short Answer

Expert verified

a. Confidence Interval is 0.0129,0.0651

b. It is because Confidence Interval gives us range of possible values.

Step by step solution

01

Given Information

It is given that n1=2063

n2=2099

p^1=0.263

p^2=0.224

伪=0.05

02

Confidence Interval

All three conditions of random, independent and normality are met.

For 1-伪=0.95, from table zu/2=1.96

Confidence interval: p^1-p^2-za/2脳p^11-p^1n1+p^21-p^2n2

=(0.263-0.224)-1.96脳0.263(1-0.263)2063+0.224(1-0.224)2099鈮�0.0129

and p^1-p^2+z伪/2脳p^11-p^1n1+p^21-p^2n2鈮�0.0651

Hence, we are 95%confident that true death rate of people taking Prachachol lies between0.0129and0.0651higher than true death rate of people who take Lipitor.

03

How Confidence Interval is better

Confidence interval is better as it gives us range of possible values. Significance test only checks one difference value of difference between proportions,

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Most popular questions from this chapter

Two samples or paired data? In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice.

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b. To test the effect of background music on productivity, factory workers are observed. For one month, each subject works without music. For another month, the subject works while listening to music on an MP3 player. The month in which each subject listens to music is determined by a coin toss.

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