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request of answers, Econometrics

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Ask q2. Using a sample of 545 full-time workers, a researcher is interested in the question as to whether women are systematically underpaid compared with men. First, a research estimates the average hourly wages in the sample for men and women, which are $5.91 and $5.09 respectively.
a) Do these numbers give an answer to the question of interest? Why not? How could one (at least partially) correct for this?
The researcher also runs a simple regression of an individual''s wage on a male dummy, equal to 1 for males and 0 for females. This gives the results reported in

Hourly wages explained from gender: OLS results

b) How can you interpret the coefficient estimate of 0.82? How do you interpret the estimated intercept of 5.09?
c) (How do you interpret the of 0.26?
d) Explain the relationship between the coefficient estimates in the table and the average wage rates of males and females.
e) A student is unhappy with this model as ‘a female dummy is omitted from the model’. Comment upon this criticism.
f) Test, using the above results, the hypothesis that men and women have, on average, the same wage rate, against the one-sided alternative that women earn less. State the assumptions required for this test to be valid.
g) Construct a 95 % confidence interval for the average wage differential between males and females in the population.
uestion #Minimum 100 words accepted#

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