We are interested in looking at the effect of a baseball player’s free agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not.------------------------------You also wonder if having a high batting average affects the salary of baseball players. You classify all 370 baseball players as having a high batting average if it is over .300.1. What is the conditional distribution of high salary when looking only at those who have high batting averages?2. What is the marginal distribution of high salary?3. Give the four expected counts. Chi-Square TestsAsymptoticSignificance (2- Exact Sig. (2-sided)Exact Sig. (1-sided)Valuedfsided)Pearson Chi-Square12.501°1.000Continuity Correctionb11.152.001Likelihood Ratio11.2231.001Fisher's Exact Test.001.001Linear-by-LinearAssociation12.4641.000N of Valid Cases337a. O cells (0.0%) have expected count less than 5. The minimum expected count is 9.99.b. Computed only for a 2x2 table Case Processing SummaryCasesValidMissingTotalNPercentN PercentNPercentHigh Salary * HighBatting0.0%337100.0%337100.0%High Salary * HighBatting CrosstabulationHighBattingBelow AverageBattingHigh BattingAverageTotalHigh Salary Normal Salary Count22818246Expected Count219.027.0246.0% within HighBatting76.0%48.6%73.0%High SalaryCount721991Expected Count81.010.091.0% within HighBatting24.0%51.4%27.0%TotalCount30037337Expected Count300.037.0337.0% within HighBatting100.0%100.0%100.0%

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Description: We are interested in looking at the effect of a baseball player’s free agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not.-

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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We are interested in looking at the effect of a baseball player’s free agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not.

------------------------------

You also wonder if having a high batting average affects the salary of baseball players. You classify all 370 baseball players as having a high batting average if it is over .300.

1. What is the conditional distribution of high salary when looking only at those who have high batting averages?

2. What is the marginal distribution of high salary?

3. Give the four expected counts.

Chi-Square Tests
Asymptotic
Significance (2- Exact Sig. (2-
sided)
Exact Sig. (1-
sided)
Value
df
sided)
Pearson Chi-Square
12.501°
1
.000
Continuity Correctionb
11.152
.001
Likelihood Ratio
11.223
1
.001
Fisher's Exact Test
.001
.001
Linear-by-Linear
Association
12.464
1
.000
N of Valid Cases
337
a. O cells (0.0%) have expected count less than 5. The minimum expected count is 9.99.
b. Computed only for a 2x2 table

Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N Percent
N
Percent
High Salary * HighBatting
0.0%
337
100.0%
337
100.0%
High Salary * HighBatting Crosstabulation
HighBatting
Below Average
Batting
High Batting
Average
Total
High Salary Normal Salary Count
228
18
246
Expected Count
219.0
27.0
246.0
% within HighBatting
76.0%
48.6%
73.0%
High Salary
Count
72
19
91
Expected Count
81.0
10.0
91.0
% within HighBatting
24.0%
51.4%
27.0%
Total
Count
300
37
337
Expected Count
300.0
37.0
337.0
% within HighBatting
100.0%
100.0%
100.0%

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