What Happened inHazelwood: Statistics, Employment Discrimination, and the 80% Rule

Author:

Meier Paul,Sacks Jerome,Zabell Sandy L.

Abstract

Tests of statistical significance have increasingly been used in employment discrimination cases since the Supreme Court's decision in Hazelwood. In that case, the United States Supreme Court ruled that “in a proper case” statistical evidence can suffice for a prima facie showing of employment discrimination. The Court also discussed the use of a binomial significance test to assess whether the difference between the proportion of black teachers employed by the Hazelwood School District and the proportion of black teachers in the relevant labor market was substantial enough to indicate discrimination. The Equal Employment Opportunity Commission has proposed a somewhat stricter standard for evaluating how substantial a difference must be to constitute evidence of discrimination. Under the so-called 80% rule promulgated by the EEOC, the difference must not only be statistically significant, but the hire rate for the allegedly discriminated group must also be less than 80% of the rate for the favored group. This article argues that a binomial statistical significance test standing alone is unsatisfactory for evaluating allegations of discrimination because many of the assumptions on which such tests are based are inapplicable to employment settings; the 80% rule is a more appropriate standard for evaluating whether a difference in hire rates should be treated as a prima facie showing of discrimination.

Publisher

Cambridge University Press (CUP)

Reference147 articles.

1. If pB = .70. pw= .80 are the black and white selection rates, then the absolute difference is 10%. The rejection rates qB = 1 -pe = .30, qw = 1 -pw = .20, also have an absolute difference of .30 - .20 = 10%. On the other hand, pB/pw = .70/.80= .875, while qw/qB = .20/.30= .67.

2. While there are examples where the one-sided, two-sided issue has surfaced in court we do not regard the matter as one of great import. For further discussion, and some useful cautionary notes on the use of one-sided tests, see Freedman, infra note 68, at 494–96.

3. A case in this domain but where the sample sizes are less and disparity is great, resulting in a borderline situation, is Reynolds v. Sheet Metal Workers Local 102, 498 F. Supp. 952, 960, 965 (D.D.C. 1980), where, of 44 black and 80 nonblack applicants to an apprenticeship training program, 14 blacks and 41 (51.3%) nonblacks were selected. The selection rates were pB=.318, pw = .513; the ratio is .621 (the reported calculations in the opinion are in error). The one-sided two-sample binomial test shows significance at the .029 level, which is a bit larger than the .025 standard. Strictly speaking, neither the 80% rule nor the two-sample binomial would find disparity. The court agonized about the .025 standard and decided on the basis of collateral evidence and the inessentiality of such a precise standard that a prima facie case was established.

4. 102 S. Ct. 2525 (1982).

5. Even if the employer adopts an affirmative action policy to make the proportions equal, the holding in Teal suggests that the use of nonvalidated tests is prohibited.

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