In a recent court case it was found that during a period of 11 years 853 people were selected for grand jury duty and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78.8% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased 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.

The test statistic is z =____

(Round to two decimal places as needed.)

The P-value is____

(Round to four decimal places as needed.)