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I. IF we do not reject the null hypothesis when the alternative hnthsinthen we have made Type B error (b) Correct decision (e) Type I error (a) Type I1 error Use for Problems 2 and 3. The data below shows the top 10 teams winning percentages (z) and powe ratings (u) for the 2013-2014 NCAA basketball season, according to vww.teasrankings.com bo 100.47 b 20.43 08330.694 2. Interpret the estimated slope of the line. (a) For a 1-game decrease in power rating, winning percentages will increase by 100.47, on averages. For a l-game increase in power rating, winning percentages will increase by 100.47, on averng (c) For a 1-game increase in winning percentages, power rating will increase by 20.43 points, on average. (d) For a 1-game decrease in winning percentages, power rating will increase by 20.43 points,on average. 3. Give a practical interpretation of r2 (a) 69.4% of the differences in power ratings are caused by differences in the winning proportions. (b) We estimate winning proportions to increase by 0.694 for every 1-point increase in power rating. (c) we can predict winning proportions correctly 69.4% of the time using power rating in a least- squares regression model. (d) 69.4% of the sample variation in power ratings can be explained by the leastsquares regeson line. 4. According to the law of large numbers, as more observations are added to the sample, the sample mean and the population mean tend to get closer together. (b) False (a) True (a) A probability of observing a population parameter more extreme than the one observed under the (b) A probability of observing a population parameter more extreme than the one observed under the (c) A probability of observing a sample statistic more extreme than the one observed under the (d) A probability of observing a sample statistic more extreme than the one observed under the 5. What is a p-value? assumption that the null hypothesis is true. assumption that the null hypothesis is false. assumption that the null hypothesis is true. assumption that the null hypothesis is false.
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