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Unformatted text preview: THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT 1302 PROBABILITY AND STATISTICS II (2010-11) EXAMPLE CLASS 10 1. From each of six batches of seed a random sample of 100 seeds was selected for sow- ing. The numbers of seeds that failed to germinate in the six samples of 100 seeds were 12, 20, 9, 17, 24, 16. Derive the critical region at 0.05 significance level for the Pearson chi-squared test of the hypothesis that the proportion of non-germinating seeds was the same for all batches. Would you reject this hypothesis? 2. An experiment was conducted to determine whether automobile size is related to the fatality of accidents. 400 cars were examined and the following data were collected: Accident Small Medium Large Fatal 40 60 50 Non-fatal 50 120 80 Perform a χ 2- test to test the null hypothesis that the fatality rate is independent of car size. Use α = 0 . 05....
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- Spring '11