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# 2005 - Name(please print Student No Problem 1[9 marks...

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Name (please print):__________________________ Student No.:_________________ Problem 1. [9 marks] Gamers are people who play games on the Internet. They get so involved with their hobby that they are glued to their computers. Health authorities are concerned enough to investigate if gamers are doing enough physical activity or exercise. A simple random sample of 144 gamers was chosen carefully and asked to fill out personal details concerning their life style. Based on appropriate criteria, it was found that only 27 of the gamers could be considered to be physically active. (a) Suppose that 25% of the general population is considered to be physically active. Test whether the true proportion of gamers involved in physical activity is less than in the general population. Use the 5% level of significance and complete the test by calculating the P-value. [5] (b) Calculate a 95% 2-sided confidence interval (CI) for the true proportion of physically active gamers. Does this confidence interval lead you to any conclusion? Explain briefly. [2] (c) Suppose we wanted to limit the margin of error in the CI to ° 2% with a confidence level of 95%. What sample size would be required? [2]

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Name (please print):__________________________ Student No.:_________________ [2] Problem 3 [10 marks] You would like to test the hypothesis that the average B.Comm starting salary exceeds \$40,000. You have gathered and analyzed data from only 16 recent graduates. The

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2005 - Name(please print Student No Problem 1[9 marks...

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