In: Statistics and Probability
During a period of 11 years 1644 of the people selected for grand jury duty were sampled, and 32% of them were immigrants. Use the sample data to construct a 99% confidence interval estimate of the proportion of grand jury members who were immigrants. Given that among the people eligible for jury duty, 38.6% of them were immigrants, does it appear that the jury selection process was somehow biased against immigrants?
Let p denotes the true proportion of people who were immigrants.
Since 0.386 is not included in the confidence interval, so at 99% level of confidence, we can conclude that true proportion of people who were immigrants is significantly different from 0.386, so it appears that the jury selection process was somehow biased against immigrants.