8. In a recent court case it was found that during a period of 11 years 383 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty. 78.2% were of this ethnicity. Use a 0.05 signicance 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 nal conclusion that addresses the original claim. Use the Pvalue method and the normal distribution as an approximation to the binomial distribution. 3- Identify the null and alternative hypotheses. b, Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test. d. What is the conclusion on the null hypothesis? e. Does the jury selection system appear to be fair? A data set includes data from student evaluations of courses. The summary statistics are n = 87, x =3.33, s= 0.52. Use a 0. 10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. a. Identify the null and alternative hypotheses. b. Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test. d. State the final conclusion that addresses the original claim.18. Since an instant replay system for tennis was introduced at a major tournament, men challenged 1399 referee calls, with the result that 419 of the calls were overturned. Women challenged 776 referee calls, and 216 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (e) below. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. a. What are the null and alternative hypotheses for the hypothesis test? b. Identify the test statistic c. Identify the P-value d. What is the conclusion based on the hypothesis test? e. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is What is the conclusion based on the confidence interval? Based on the results, does it appear that men and women may have equal success in challenging calls