#5 Author Malcolm Gladwell suggested in his book 'Outliers' that there are more baseball players born after July 31 than before. (In the old days, Little League determined your eligibility based on your age on July 31...so people like me born on September 14 started later but got to play later...when they were bigger and stronger...and got to play a lot as a result...as opposed to sitting on the bench). The table below shows the data for Major Leaguers born in respective months. Use $\alpha$ = .05 to determine if the different months of the year have the same frequency. (Please don't worry about different numbers of days for each month) Month Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Frequency 387 329 366 344 336 313 313 503 421 434 398 371 1. $H_0$: $H_1$: 2. CV: 3. TV: 4. Decision: 5. Conclusion:
Added by Andrew S.
Close
Step 1
Step 1: The null hypothesis is that the frequency of Major Leaguers born in each month is the same. Show more…
Show all steps
Your feedback will help us improve your experience
Nidhi Singhi and 83 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Baseball Player Births In his book Outliers, author Malcolm Gladwell argues that more baseball players have birthdates in the months immediately following July 31, because that was the cutoff date for nonschool baseball leagues. Here is a sample of frequency counts of months of birthdates of American-born major league baseball players starting with January: 387, 329, 366, 344, 336, 313, 313, 503, 421, 434, 398, 371. Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born major league baseball players are born in different months with the same frequency? Do the sample values appear to support Gladwell’s claim?
Nidhi S.
Baseball Player Births. In his book Outliers, author Malcolm Gladwell argues that more American-born baseball players have birthdates in the months immediately following July 31 because that was the cutoff date for non-school baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? 1. What is the test statistic? 2. What are the critical value(s)? 3. What is the p-value (use technology)? 4. What is your conclusion about the claim? 5. Do the data support Gladwell's claim?
Madhur L.
An author argued that more basketball players have birthdates in the months immediately following July 31 because that was the age cutoff date for non-school basketball leagues. Here is a sample of frequency counts of months of birthdates of randomly selected professional players starting with January: Month; Number January; 314 February; 326 March; 399 April; 308 May; 347 June; 310 July; 330 August; 546 September; 445 October; 417 November; 356 December; 328 Using a 0.5 significance level, is there sufficient evidence to warrant rejection of the claim that professional players are born in different months with the same frequency? Do the sample values appear to support the author's claim? Calculate the test statistic, x^2. Calculate the P-value.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD