5. A certain Major League Baseball player claims that he will get a hit at any given time is 30 percent. Table shows a frequency distribution of the number of hits per game over the last 100 games. Number of Number of Games 26 34 Hits 0 1 2 3 4 30 7 3 a) How many 2-hit games would be expected if these observations followed the binomial distribution with p=0.30? a) 41.60 b) 26.46 c) 7.64 d) 10.61 b) Based on the expected frequencies, what categories must be combined if these observations followed the binomial distribution with p=0.30? a) x = 0 and x=1 b)x= 1 and x = 2 c) x=2 and x=3 d) x = 3 and x=4 c) What is the critical chi-square value from the table to test the hypothesis that these observations followed the binomial distribution using a = 0.05 ? a) 9.49 b) 5.99 c) 7.81 d) 6.25 d) What is the value of the chi-square random variable used to test the hypothesis that these observations followed the binomial distribution with p = 0.30? a) 2.20 b) 4.46 c) 6.69 d) 10.15 e) What is the appropriate conclusion for this test? a) These observations followed the binomial distribution with p = 0.30. b) The binomial distribution with p = 0.30 is not appropriate for this data. c) There is not enough evidence to conclude.

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