QuestionIn his book Outliers, author Malcolm Gladwell argues that more baseball players have birth dates in the months immediately following July 31 , because that was the age cutoff date for non-school baseball leagues. Here is a sample of frequency counts of months of birth dates of American-born professional baseball players starting with January: 384, 329, 357, 348, 339, $312,313,505,412,428,401,362$. 믄 Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born professional baseball players are born in different months with the same frequency? Do the sample values appear to support the author's claim?
Identify the null and alternative hypotheses. Choose the correct answer below. A. $\mathrm{H}_{0}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. $\mathrm{H}_{1}$ : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. B. $\mathrm{H}_{0}$ : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. $H_{1}$ : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. C. $\mathrm{H}_{0}$ : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. $\mathrm{H}_{1}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. D. $H_{0}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. $H_{1}$ : All months have different frequencies of American-born professional baseball player birth dates. Calculate the test statistic, $\chi^{2}$. $$\chi^{2}=\square$$ (Round to two decimal places as needed.)