"Smartest People Often Dumbest About Sunburns" is the headline of an article that appeared in a California newspaper. The article states that "those with a college degree reported a higher incidence of sunburn than those without a high school diploma--40% versus 33%." Suppose that these percentages were based on random samples of size 200 from each of the two groups of interest (college graduates and those without a high school diploma).

Is there convincing evidence that the proportion experiencing sunburn is higher for college graduates than it is for those without a high school diploma? Test the claim using the p-value method with a 0.1 significance level. (You should write out all the steps of the hypothesis test, even though you aren't asked to record all of them here.)

p-value =

(round your answer to four decimal places)

Decision:

Conclusion: At the 0.1 level, we conclude that the true proportion experiencing a sunburn is higher for college graduates than it is for those without a high school diploma.

An eating attitudes test (EAT) was administered to both a sample of female models and a control group of females. (An EAT is often used to assess risk of an eating disorder). The samples resulted in the following summary statistics:

Group | Sample Size | Sample Mean | Sample Std Dev |

Models | 30 | 8.5 | 5.5 |

Controls | 30 | 11.35 | 6.8 |

Let μ_{1} denote the true average EAT score for models, and let μ_{2} denote the true average EAT score for controls. Construct a 99% confidence interval for the true difference in mean EAT scores. Use df = 50 when determining your critical value.

to

(round the endpoints of your CI to two decimal places)

What should go in the middle of the confidence interval, i.e. low < ___ < high?

Which of the following can you conclude based on your confidence interval?

Subject | Mathematics |

Due By (Pacific Time) | 04/04/2014 11:30 pm |

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