Suppose that a researcher, using wage data on 270 randomly selected male workers and 302 female workers, estimates the OLS regression Wage = 13.522 + 2.290 × Male, R = 0.05, SER=4.5, (0.2484) (0.3888) 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. Defir gender gap as the difference in mean earnings between men and women. What is the estimated gender gap? The estimated gender gap equals $ 2.29 per hour. (Round your response to three decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Suppose that a researcher, using wage data on 270 randomly selected male workers and 302 female workers, estimates the OLS regression
Wage = 13.522 + 2.290 × Male, R = 0.05, SER=4.5,
(0.2484) (0.3888)
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 $2.29 per hour. (Round your response to three decimal places.)
The null and alternative hypotheses are Ho: B = 0 versus H4:B1 #0.
The t-statistic for testing the null hypothesis that there is no gender gap is 5.89 . (Round your response to two decimal places.)
The p-value for testing the null hypothesis that there is no gender gap is
(Round your response to four decimal places.)
Transcribed Image Text:Suppose that a researcher, using wage data on 270 randomly selected male workers and 302 female workers, estimates the OLS regression Wage = 13.522 + 2.290 × Male, R = 0.05, SER=4.5, (0.2484) (0.3888) 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 $2.29 per hour. (Round your response to three decimal places.) The null and alternative hypotheses are Ho: B = 0 versus H4:B1 #0. The t-statistic for testing the null hypothesis that there is no gender gap is 5.89 . (Round your response to two decimal places.) The p-value for testing the null hypothesis that there is no gender gap is (Round your response to four decimal places.)
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