Question

what is t stat, and p value?

11.2.18-E An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below li a sample of American-born baseball players and foreign-born baseball players. Using a 0.01 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball player whether they are born in America? Do the data appear to support the author's claim? Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Born in America 385 332 363 347 337 311 314 499 421 437 399 369 Foreign Born 102 82 86 8295 84 59 90 70 99 103 82 Hy: The frequency of births is independent of the month. OB. Ho: The frequency of births is independent of the month. H: The frequency of births is dependent of the month O C. Ho: Months of births of baseball players are dependent of where they are born. Hy: Months of births of baseball players are independent of where they are born. D. Ho: Months of births of baseball players are independent of where they are born. Hy: Months of births of baseball players are dependent of where they are born. Identify the test statistic. (Round to three decimal places as needed.)

Answer 1

The null and altemative hypotheses are D. H: Months of births of basketball players are independent of where they are bom. H: Months of births of basketball players are dependent of where they are bom. MINITAB Procedure: Step 1: Choose Stat> Tables Chi-Square Test for Association. Step 2: Select Summarized data in a two-way table. Step 3: In Column containing the table Jan, Feb, March, April, May, June, July, Aug, Sept, Oct, Nov, Dec. Step 3: In Categorical variables, for rows enter Sample. For columns enter Months. Step 4: Click OK. MINITAB output:

Chi-Square Test for Association: Sample, Months Rows: Sample Columns: Months Jan Feb March April May June July Aug Sept Oct Born in America 385 396.2 332 336.2 363 365.3 347 349.0 337 351.5 311 321.4 314 303.5 499 479.2 421 399.5 437 436.1 Foreign Born 102 90.8 82 77.2 86 83.7 22 80.0 95 80.5 59 69.5 90 109.8 70 91.5 99 99.9 73.6 All 487 414 449 429 432 395 373 589 491 536 Nov Dec All Born in America 4514 399 408.4 369 366.9 Foreign Born 82 1034 103 93.6 84.1 All 502 451 5548 Cell Contents: Count Expected count Pearson Chi-Square = 21.019, DF = 11, P-Value = 0.033

The value of the test statistic is r = 21.019. P-value = 0.033. 0.01 <p-value <0.05. Fail to reject H