In his article published in the American journal of sociology in 1997, professor tam uses...

7. In his article published in the American Journal of Sociology in 1997, Professor Tam uses cross-sectional data from the 1988 Current Population Survey (CPS) to assess the effect of the sex composition of occupations on individual wages, and test competing explanations of the link between sex segregation and pay inequality. The CPS survey is a national sample of the American population and contains about 20,000 white respondents and about 1,900 black respondents. Only the estimates for white workers are presented here. In a multiple regression analysis, Tam uses occupational sex composition and a series of other independent variables (see Note 3 in Table 1) to predict hourly wages. This analysis is done separately for each gender. Table l. The effect of sex composition on hourly wages: nnstandardized regression coefcients (standard errors in parentheses) White White Women Men Sex Composition -.18? -_094 (.0 l 6) (.0 l 9) Control Variables3 INCLUDED INCLUDED R2 .470 .503 Notes: 1. Dependent variable: the natural logarithm of hourly wages. 2. Sex Composition: the proportion of workers who are women in the respondent's occupation. 3. Other independent variables included are Geographical Location (South, West, Midwest), SMSA (residing in a standard metropolitan statistical area), veteran, union, schooling, work experience and its square. industry (22 dummy variables), and full-time. These estimates are not the focus of our interest, thus their estimates are omitted from the table. (10 points) a. For each gender group, test the hypothesis that HOURLY WAGES and SEX COMPOSITION (proportion of female workers) are associated, after controlling for the effects of the variables listed in Note 3. in Table 1. Test this hypothesis at or = .05. (10 points) b. Is this association between HOURLY WAGES and SEX COMPOSITION consistent across each gender group (Hint: discuss the s' of the coefficients)? Draw a diagram to represent this relationship between HOURLY WAGES and SEX