11. The following results come from a dataset that contains information on a random sample of 534 US. workers surveyed in 1985. The dataset contains information about the hourly wage (in US. dollars) and the sex of each of the workers surveyed, as well as information about each worker's age (categorized into 4 quartiles), union membership, job type (collapsed into 8 different categories), marital status (married or not), and occupational sector (3 categories). You are interested in assessing the relationship between hourly wages and sex in the population of workers from which the sample was taken. Fortysix percent of the sample is female, and the overall average hourly salary for the 534 workers is $9.00 per hour (in 1985 dollars). You are reviewing the following set of salary mean difference estimates comparing female and male workers. The first estimate is the unadjusted association, and the subsequent estimates in the table have been adjusted for the characteristics listed. Table 1: Unadjusted and Adjusted Mean Salary Differences for Sex index Estimate SISl Estimate is Adjusted for: A -52.12 50.44 (unadjusted) B -$2.14 $0.43 Age C $1.99 $0.43 Age, Union Membership D -$1.92 $0.43 Age, Union Membership, Job Type E -52.01 50.43 Age, Union Membership, Job Type, Sector, Marital Status 1 Standard Error of the Mean Difference - Do these results show that the relationship between hourly wages and sex was modified by age? a. Yes, because the unadjusted mean differences in wages, and the mean difference in wages adjusted for age are different. b. No, because the unadjusted mean differences in wages, and the mean difference in wages adjusted for age are not different. c. Additional information is needed to assess whether relationship between hourly wages and sex was modified by age