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(3) A subsample from the Current Population Survey is taken, on weekly earnings of individuals, their age, and their gender. You have read in the

(3)

A subsample from the Current Population Survey is taken, on weekly earnings of individuals, their age, and their gender. You have read in the news that women make 70 cents to the $1 that men earn. To test this hypothesis, you first regress earnings on a constant and a binary variable, which takes on a value of 1 for females and is 0 otherwise.

The results were:

Earn = 570.70 - 170.72(Female), R2=0.084, SER = 282.12.

(9.44) (13.52)

(a) Interpret the y-intercept estimate in this model. Is there a quantitative meaning?

(b) Interpret the slope estimate in this model. What is the quantitative meaning of the this

measure?

(c) Test whether or not the difference in the mean salaries for men and women is significantly different. Justify your choice of a one-sided or two-sided alternative test and explicitly state the null and the alternative hypothesis as well as the results of the test. Are these results evidence enough to argue that there is discrimination against females? Why or why not?

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