Question Help ▼ Suppose that a researcher, using wage data on 255 randomly selected male workers and 286 female workers, estimates the OLS regression Wage = 12.770 +2.162 x Male, R =0.06, SER=4.3. (0.2346) (0.3672) where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if the person is a male and 0 if the person is a female. Define the wage gender gap as the difference in mean earnings between men and women. What is the estimated gender gap? The estimated gender gap equals $2.162 per hour. (Round your response to three decimal places.) The null and alternative hypotheses are Ho B1 = 0 versus H: B, #0. The t-statistic for testing the null hypothesis that there is no gender gap is 12.35. (Round your response to two decimal places.) The p-value for testing the null hypothesis that there is no gender gap is 0.0000. (Round your response to four decimal places.) The estimated effect of gender gap is statistically significant at the: 1.5% level II. 1% level II. 0.01% level

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Question Help v
Suppose that a researcher, using wage data on 255 randomly selected male workers and 286 female workers, estimates the OLS regression
Wage = 12.770 +2.162x Male, R = 0.06, SER= 43,
(0.2346) (0.3672)
where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if the person is a male and 0 if the person is a female Define the wage gender gap as the difference in mean earnings between men and
women
What is the estimated gender gap?
The estimated gender gap equals $2.162 per hour. (Round your response to three decimal places.)
The null and alternative hypotheses are Ho: B, = 0 versus H,: B, +0.
The t-statistic for testing the null hypothesis that there is no gender gap is 12.35. (Round your response to two decimal places )
The p-value for testing the null hypothesis that there is no gender gap is 0.0000. (Round your response to four decimal places.)
The estimated effect of gender gap is statistically significant at the:
1. 5% level
II. 1% level
III. 0.01% level
Click to select your answer(s).
9:37 PM
40 O G ENG
5/1/2021
O Type here to search
Transcribed Image Text:Question Help v Suppose that a researcher, using wage data on 255 randomly selected male workers and 286 female workers, estimates the OLS regression Wage = 12.770 +2.162x Male, R = 0.06, SER= 43, (0.2346) (0.3672) where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if the person is a male and 0 if the person is a female Define the wage gender gap as the difference in mean earnings between men and women What is the estimated gender gap? The estimated gender gap equals $2.162 per hour. (Round your response to three decimal places.) The null and alternative hypotheses are Ho: B, = 0 versus H,: B, +0. The t-statistic for testing the null hypothesis that there is no gender gap is 12.35. (Round your response to two decimal places ) The p-value for testing the null hypothesis that there is no gender gap is 0.0000. (Round your response to four decimal places.) The estimated effect of gender gap is statistically significant at the: 1. 5% level II. 1% level III. 0.01% level Click to select your answer(s). 9:37 PM 40 O G ENG 5/1/2021 O Type here to search
O C. I, II, and III.
O D. I and Il.
Construct a 95% confidence interval for the effect of gender gap.
The 95% confidence interval for the effect of gender gap is (1.21. 2.79). (Round your responses to two decimal places.)
From the sample, the average wage of women is $ per hour. (Round your response to three decimal places.)
From the sample, the average wage of men is $ per hour. (Round your response to three decimal places.)
Another researcher uses these same data but regresses Wages on Female, a variable that is equal to 1 if the person is female and 0 if the person a male. What are the regression estimates calculated from this regression?
Wage = Yo + 71× Female, R, SER.
Yo = (Round your response to three decimal places.)
Y1 = (Round your response to three decimal places.)
R = (Round your response to two decimal places.)
SER =D. (Round your response to one decimal place.)
Click to select your answer(s).
Transcribed Image Text:O C. I, II, and III. O D. I and Il. Construct a 95% confidence interval for the effect of gender gap. The 95% confidence interval for the effect of gender gap is (1.21. 2.79). (Round your responses to two decimal places.) From the sample, the average wage of women is $ per hour. (Round your response to three decimal places.) From the sample, the average wage of men is $ per hour. (Round your response to three decimal places.) Another researcher uses these same data but regresses Wages on Female, a variable that is equal to 1 if the person is female and 0 if the person a male. What are the regression estimates calculated from this regression? Wage = Yo + 71× Female, R, SER. Yo = (Round your response to three decimal places.) Y1 = (Round your response to three decimal places.) R = (Round your response to two decimal places.) SER =D. (Round your response to one decimal place.) Click to select your answer(s).
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