DS 10.3.1 gives the results of n =500 die rolls. (a) What
Chapter 10, Problem 10.3.1(choose chapter or problem)
DS 10.3.1 gives the results of n =500 die rolls. (a) What are the expected cell frequencies if the die is a fair one? (b) Calculate the Pearson chi-square statistic X2 for testing whether the die is fair. (c) Calculate the likelihood ratio chi-square statistic G2 for testing whether the die is fair. (d) What p-values do these chi-square statistics give? Does a size =0.01 test of the null hypothesis that the die is fair reject or accept the null hypothesis? (e) Calculate a 90% two-sided condence interval for the probability of obtaining a 6.
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