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9.3 In the past 100 years, there have been more than 250 successful breakouts from Didsbury Prison. Mike is a researcher who has been

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9.3 In the past 100 years, there have been more than 250 successful breakouts from Didsbury Prison. Mike is a researcher who has been hired by the prison governor to investigate the phenomenon. Details are available only for those breakouts that took place in the past ten years a total of 30. Using the records of these 30 breakouts as a sample, Mike decides to break the figures down to see whether breakouts were more common in certain wings of the prison than in others. It transpires that of the 30 breakouts, 4 have been from A-Wing, 8 from B-Wing, 15 from C-Wing, and 3 from D-Wing. a. Does Mike have enough evidence to conclude that, over the 100-year period, breakouts were more (or less) likely to occur from certain wings than from others? Use a 5% level of significance and outline each of the steps required in a test of statistical significance. b. Would your answer be any different if a 1% level of significance were used? c. Are there any problems with Mike's choice of a sample? Explain your answer

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