When testing this hypothesis, what is the test statistic

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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26) Below is some of the regression output from a simple regression of the number of wins for a major league baseball team and the size amount of money the team is paying its players (expressed in millions of $'s) *fill in the blank table* Suppose that the team owner is trying to decide whether to pay a particular free agent player. Based on the player's previous statistics, the owner thinks that the new player can help his team increase the number of wins but the new player is going to cost more than the player he will be replacing. The owner decides it is a good idea to sign the new player if he can be pretty sure that the coefficient is at least 0.20. When testing this hypothesis, what is the test statistic? (please express your answer using 2 decimal places)
SUMMARY
Wins v. Team Payroll
OUTPUT
Regression
Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
30
ANOVA
df
SS
MS
Regression
1032.6
1032.6
13.7
Residual
2109.7
75.3
Total
Coefficients
Standard Error t Stat
P-value
Lower 95%
Upper
95%
Intercept
Payroll
67.6
4.02
16.8
3.515E-16 59.4
75.9
0.253
0.064
10.0009
10.387
Transcribed Image Text:SUMMARY Wins v. Team Payroll OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 30 ANOVA df SS MS Regression 1032.6 1032.6 13.7 Residual 2109.7 75.3 Total Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept Payroll 67.6 4.02 16.8 3.515E-16 59.4 75.9 0.253 0.064 10.0009 10.387
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