Suppose the following table was generated from the sample data of 20 employees r
ID: 3232318 • Letter: S
Question
Suppose the following table was generated from the sample data of 20 employees relating annual salary to years of education and gender. According to the results, is there a salary difference between men and women at the 0.01 level of significance? If yes, write the difference in salary in the space provided, rounded to 2 decimal places. Else, select "There is not enough evidence."
COEFFICIENTS
STANDARD ERROR
T-STAT
P-VALUE
INTERCEPT
-6351.081919
2302.895692
-2.757868
0.013444
EDCUCATION
3487.071476
133.810154
26.059842
0.000000
MALE (=1 IF MALE, =0 IF FEMALE)
2400.745462
794.341077
3.022311
0.007680
Answer:
There is not enough evidence
COEFFICIENTS
STANDARD ERROR
T-STAT
P-VALUE
INTERCEPT
-6351.081919
2302.895692
-2.757868
0.013444
EDCUCATION
3487.071476
133.810154
26.059842
0.000000
MALE (=1 IF MALE, =0 IF FEMALE)
2400.745462
794.341077
3.022311
0.007680
Explanation / Answer
The p - value corresponding to the dummy variable representing male and female is 0.00768 which is less than 0.01.
Hence,
We reject the null hypothesis and conclude that there is enough evidence of salary difference between men and women.
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