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akritas1 - Selecting the Appropriate Statistical Technique...

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Unformatted text preview: Selecting the Appropriate Statistical Technique and Null Hypothesis Instructions: for each problem specify what statistical test should be used and the appropriate null hypothesis, selected from the list on the last page. 1. Is there a relationship between the number of votes received by candidates for public office and the amount spent on their campaign? The following gives sample information on 4 candidates in a recent election: Candidate Amount spent Votes received Weber 30000 14000 Taite 40000 7000 Spencer 20000 5000 Lopez 50000 12000 Johnson 90000 25000 Smith 100000 30000 Test to see if there is a significant linear relationship between amount Spent and the number of votes received. Statistical test to use (insert number): Null Hypothesis __,. 2. The following data are the weight gains, measured in pounds, of babies from birth to age 6 months. 13 babies were randomly split into two groups: group 1 babies were breast-fed, and group 2 babies were fonnula-fed. There were 7 breast—fed babies and 6 formula-fed babies. The results: Breast-fed babies 7 8 6 10 9 8 9 Formula—fed babies 9 10 8 6 7 8 Is there evidence that the weight gains are different among the two groups? Use alpha = .05. Statistical test to use (insert number): _ Null Hypothesis _ 3. Are the proportions of males and females who 'like' women's basketball the same or not? 400 randomly selected males and 400 randomly selected females were asked about this. It was found that 42% of the males said they liked women’s basketball, compared to 47% of the females. Test the hypothesis that the 2 proportions are the same, against the alternative that they are not equal. Statistical test to use (insert number): __ __ Null Hypothesis 4. To determine if a new gas additive improves the mpg of gasoline in Honda‘s, 14 cars were randomly assigned for seven test runs with the additive and seven runs without it. The test results appear below. Is there sufficient evidence at the .05 level to conclude that the additive increases gasoline mileage? With additive 32.6 30.1 29.8 34.6 33.5 29.6 33.8 Without additive 31.3 29.7 29.1 30.3 30.9 29.9 Statistical test to use (insert number): Null Hypothesis ._ - t ...
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