a) State hypothesis, find the test statistic, and use any software for the P-value. Be sure to state the conclusion. b) Explain simply why it is important to have a placebo group in this study?

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Exercise 23.18 describes a study to determine if subjects with pre-existing cardiovasular symptoms were at an increased risk of cardiovasular events while taking sibutramine. Do the data give good reason to thinking that there is a difference between the proportions of treatment and placebo subjects wo experienced the primary outcome? (Note that sibutramine has not been available in the United States since the end of 2010 due to its' manufacturer's concerns over increased risk of heart attack or stroke, although at the present time it can still be purchased in other countries.)

a) State hypothesis, find the test statistic, and use any software for the P-value. Be sure to state the conclusion.
b) Explain simply why it is important to have a placebo group in this study?  

**CHAPTER 23 EXERCISES**

**17 Truthfulness in online profiles.** Many teens have posted profiles on a social-networking website. A sample survey in 2007 asked a random sample of teens with online profiles if they included false information in their profiles. Of 170 younger teens (aged 12 to 14), 117 said yes. Of 317 older teens (aged 15 to 17), 152 said yes.

(a) Do these samples satisfy the guidelines for the large-sample confidence interval?

(b) Give a 95% confidence interval for the difference between the proportions of younger and older teens who include false information in their online profiles.

**18 Effects of an appetite suppressant.** Subjects with preexisting cardiovascular symptoms who were receiving sibutramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 9804 overweight or obese subjects with preexisting cardiovascular disease and/or type 2 diabetes. The subjects were randomly assigned to sibutramine (4906 subjects) or a placebo (4898 subjects) in a double-blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 561 subjects in the sibutramine group and 490 subjects in the placebo group.

(a) Find the proportion of subjects experiencing the primary outcome for both the sibutramine and placebo groups.

(b) Can we safely use the large-sample confidence interval for comparing the proportions of sibutramine and placebo subjects who experienced the primary outcome? Explain.
Transcribed Image Text:**CHAPTER 23 EXERCISES** **17 Truthfulness in online profiles.** Many teens have posted profiles on a social-networking website. A sample survey in 2007 asked a random sample of teens with online profiles if they included false information in their profiles. Of 170 younger teens (aged 12 to 14), 117 said yes. Of 317 older teens (aged 15 to 17), 152 said yes. (a) Do these samples satisfy the guidelines for the large-sample confidence interval? (b) Give a 95% confidence interval for the difference between the proportions of younger and older teens who include false information in their online profiles. **18 Effects of an appetite suppressant.** Subjects with preexisting cardiovascular symptoms who were receiving sibutramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 9804 overweight or obese subjects with preexisting cardiovascular disease and/or type 2 diabetes. The subjects were randomly assigned to sibutramine (4906 subjects) or a placebo (4898 subjects) in a double-blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 561 subjects in the sibutramine group and 490 subjects in the placebo group. (a) Find the proportion of subjects experiencing the primary outcome for both the sibutramine and placebo groups. (b) Can we safely use the large-sample confidence interval for comparing the proportions of sibutramine and placebo subjects who experienced the primary outcome? Explain.
**Chapter 23: Comparing Two Proportions**

(c) *Give a 95% confidence interval for the difference between the proportions of sibutramine and placebo subjects who experienced the primary outcome.*

Genetic influences on cancer can be studied by manipulating the genetic makeup of mice. One of the processes that turn genes on or off in particular locations is called "DNA methylation." Do low levels of this process help cause tumors? Compare mice altered to have low levels of DNA methylation with normal mice. Of 33 mice with lowered levels, 23 developed tumors. None of the control group of 18 normal mice developed tumors in the same time period.
Transcribed Image Text:**Chapter 23: Comparing Two Proportions** (c) *Give a 95% confidence interval for the difference between the proportions of sibutramine and placebo subjects who experienced the primary outcome.* Genetic influences on cancer can be studied by manipulating the genetic makeup of mice. One of the processes that turn genes on or off in particular locations is called "DNA methylation." Do low levels of this process help cause tumors? Compare mice altered to have low levels of DNA methylation with normal mice. Of 33 mice with lowered levels, 23 developed tumors. None of the control group of 18 normal mice developed tumors in the same time period.
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