215 HW#3, Summer 2011 - Homework #3: Testing Proportion...

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Homework #3: Testing Proportion Problems (75 points) STA 215: Introductory Applied Statistics Name The following problems are related to hypothesis testing for population proportion. You have to carry out all the tests. Note: keep 4 decimal numbers in your calculations. 1. Sociology: Crime Rate – Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates for the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years. (Source: True Odds, by J. Walsh, Merritt Publishing.) Suppose that you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 32 arrests last month, 25 were of males aged 15 to 34. Use α = 0.10 level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. a)
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215 HW#3, Summer 2011 - Homework #3: Testing Proportion...

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