Exam 8: Hypothesis Testing With Two Samples

A youth prevention organization is examining the effect of parental smoking on the decision of their teenagers to smoke. A survey of 1150 teenagers, ages 11 to 17 years who smoked in the last 30 days, was conducted. The random sample consisted of 500 teenagers who had at least one parent that smoked and 650 who had parents that did not smoke. The results are shown in the figure. At α $\alpha$ = 0.01, can you support the organizationʹs claim that the proportion of teens who decide to smoke is greater when one or both of their parents smoke? Effect of Parental Smoking Percentage of 11-17-year-olds who smoked a cigarette at least once in the past 30 days who reported that: Source: Philip Morris USA Youth Smoking Prevention. Teenage Attitudes and Behavior Study. 2002

Find the standardized test statistic, z, to test the claim that $\mathrm { p } _ { 1 } < \mathrm { p } _ { 2 }$ Assume the samples are random and independent. Sample statistics: $\mathrm { n } _ { 1 } = 550 , \mathrm { x } _ { 1 } = 121 , \text { and } \mathrm { n } _ { 2 } = 690 , \mathrm { x } _ { 2 } = 195$