The population of interest is all men over 21 in Talladega County, Alabama. There were 16000 men in this population with the proportion of blacks being 26%. From this population a panel of 100 men was selected as a simple random sample (SRS). The null hypothesis is that choosing the panel is like SRS with respect to race. The alternative is that two few blacks are chosen. Under the null hypothesis the expected percentage of blacks in the sample (panel) is 26%, with a standard error of sqrt(.26(1-.26)/100)=.044 or 4.4%.

Due to the Central Limit Theorem the long run histogram under the null hypothesis the estimated proportion is normal, centered at the population value of 26% and with variance equal to .044^2. The z-score for the chances that 8% or less blacks were present in the panel is (8-26)/4.4=-4.1 with an associated P-value of approximately 0%.

Therefore we conclude that the Supreme Court's decision was wrong, and there was discrimination in the selection of the panel.