In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What is the test statistic? (Round to two decimal places as needed.)
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