Question: #1) Use a x 2 goodness-of-fit test to test the claim about the population distribution. Interpret the decision in the context of the original claim.

A legal researcher is studying the age distribution of juries by comparing them with the overall age distribution of available jurors. The researcher claims that the jury distribution is different from the overall distribution; that is, there is a noticeable age bias in jury selection in this area. The table shows the number of jurors at a county court in one year and the percent of persons residing in that county, by age. Use the population distribution to find the expected juror frequencies. Test the researcher's claim at alpha = 0.01.

21-29 30-39 40-49 50-59 60 and above

Jury population 45 128 244 224 359

20.5% 21.7% 18.1% 17.3% 22.4%