ne World Series, over the last 100 years. It also includes the expected proportions for the number of games played with teams of equal abilities. Games 4 5 99 6 7 Played Actual 18 22 Contests Expected Proportion 2 16 16 256 246 21 39 5 16 16 Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions. a) Which is the null hypothesis? OHO: The observed frequencies agree with three of the expected proportions. OHO: The observed frequencies agree with one of the expected proportions. HO: The observed frequencies agree with the expected proportions. OHO: At least one of the observed frequencies do not agree with the expected frequencies. b) Which is the alternative hypothesis? OH1: The observed frequencies agree with one of the expected proportions. OH1: At least one of the observed frequencies do not agree with the expected frequencies. OH1: The observed frequencies agree with three of the expected proportions. H1: The observed frequencies agree with the expected proportions. To find the test statistic, begin by converting the expected proportions in each category to a number of World Series. c) How many series are expected to have lasted 4 games? d) What is the test statistic, X?? Round to 2 decimal places. e) What are the degrees of freedom needed to find the p-value? f) What is the p-value? Round to 4 decimal places. g) Which is the decision and reasoning? Reject the null hypothesis. There is not enough evidence to reject the claim that the actual numbers of games fit the distribution indicated by the expected values. Fail to reject the null hypothesis. There is not enough evidence to reject the claim that the actual numbers of games fit the distribution indicated by the expected values. Reject the null hypothesis. There is enough evidence to reject the claim that the actual numbers of games fit the distribution indicated by the expected values.