In Exercise, conduct the hypothesis test | Ch 11.2 - 10 BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

ISBN: 9780321836960 18

Solution for problem 10 BSC Chapter 11.2

Elementary Statistics | 12th Edition

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Problem 10 BSC

Problem 10BSC

In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.

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 non school 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?

Step-by-Step Solution:

Answer:

Step 1 of 2

The expected values for each category, Ei , could be determined. With these observed and expected numbers of cases, the hypotheses can be written as

H0 : O = E

H1 : O $\ne{}$ E

Use a 0.05 significance level

SL. No.	O	p = 1/12	E = np	(O - E )2	(O - E)2/E
1	387	0.083333	376.25	115.5625	0.307143
2	329	0.083333	376.25	2232.563	5.933721
3	366	0.083333	376.25	105.0625	0.279236
4	344	0.083333	376.25	1040.063	2.764286
5	336	0.083333	376.25	1620.063	4.305814
6	313	0.083333	376.25	4000.563	10.63272
7	313	0.083333	376.25	4000.563	10.63272
8	503	0.083333	376.25	16065.56	42.69917
9	421	0.083333	376.25	2002.563	5.322425
10	434	0.083333	376.25	3335.063	8.863953
11	398	0.083333	376.25	473.0625	1.257309
12	371	0.083333	376.25	27.5625	0.073256
Sum	4515	1	4515	35018.25	93.07176

The first step in conducting the significance test is to compute the expected frequency for each outcome given that the null hypothesis is true. For example, the expected frequency of a "1" is 12 since the probability of a "1" coming up is 1/12 and there were a total of 4515.

Expected frequency (E) = np

= (4515)(1/12)

Step 2 of 1

Chapter 11.2, Problem 10 BSC is Solved

Textbook: Elementary Statistics

Edition: 12

Author: Mario F. Triola

ISBN: 9780321836960

Since the solution to 10 BSC from 11.2 chapter was answered, more than 589 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 10 BSC from chapter: 11.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.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 non school 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?” is broken down into a number of easy to follow steps, and 124 words. This full solution covers the following key subjects: Baseball, Months, born, Players, american. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960.