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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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