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9. The following results come from a dataset that contains information on a random sample of 534 U.S. workers surveyed in 1985. The dataset contains
9. The following results come from a dataset that contains information on a random sample of 534 U.S. workers surveyed in 1985. The dataset contains information about the hourly wage (in U.S. 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. Forty-six 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 Estimate is Adjusted for: A $2.12 50.44 (unadjusted) $2.14 $0.43 Age -$1.99 $0.43 Age, Union Membership mon -$1.92 $0.43 Age. Union Membership, Job Type $2.01 $0.43 Age, Union Membership, Job Type, Sector, Marital Status * Standard Error of the Mean Difference - How do the 95% CIs for the five mean differences (A-E) compare: do they all overlap, or do at least some of the 5 not overlap with each other? a. There is no overlap between any of the 5 confidence intervals. b. All five confidence intervals overlap with each other. C. All of the confidence intervals for the adjusted associations overlap with each other, but none overlap with the confidence interval for the unadjusted association
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