The Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety. Researchers at Miami University administered CARS to 100 male students and 72 female students. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do NOT assume that the population standard deviations are equal. Use a 0.01 significance leve, and test the claim that the mean anxiety for male is equal to the mean anxiety for female. The data are given below:Male: , sample .3, sample standard .5Female: , sample .8, sample standard .4Assume that population 1 are males and population 2 are females. Answer questions 1-3:1. State the null and alternative hypotheses.Question 1 options:a)H0:=Ha:>b)H0:=Ha:b)H0:=Ha:Ha:b)H0:=Ha:>c)H0:=Ha:d)H0:=Ha:Question 8In a study of police gunfire reports during a recent year, it was found that among 500 shots fired by New York City police, 160 hit their targets; and among 280 shots fired by Los Angeles police, 70 hit their targets. We want to use a 0.05 significance level to test teh claim that New York City police and Los Angeles police have the same proportion of hits.Assume population 1 is New York City police gunfire and population 2 is Los Angeles police gunfire. Answer question 7-9:8. What is the test statistic (keep 2 decimals) and what is the P-value (keep 4 decimals)? (Use STATCRUNCH)Question 8 options:a).29, .386b).29, .614c).06, .0199d).06, .0397Question 9In a study of police gunfire reports during a recent year, it was found that among 500 shots fired by New York City police, 160 hit their targets; and among 280 shots fired by Los Angeles police, 70 hit their targets. We want to use a 0.05 significance level to test the claim that New York City police and Los Angeles police have the same proportion of hits.Assume population 1 is New York City police gunfire and population 2 is Los Angeles police gunfire. Answer question 7-9:9. State the correct conclusion for the test.Question 9 options:a)Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that New York City police and Los Angeles police have the same proportion of hits.b)Reject H0. There is sufficient evidence to warrant rejection of the claim that New York City police and Los Angeles police have the same proportion of hits.c)Fail to reject H0. There is not sufficient evidence to support the claim that New York City police and Los Angeles police have the same proportion of hits.d)Reject H0. There is sufficient evidence to support the claim that New York City police and Los Angeles police have the same proportion of hits.Question 10Since the Hawk-Eye instant replay system for tennis was introduced at the U.S. Open in 2006, men challenged 1500 referee calls, with the result that 420 of the calls were overturned. Women challenged 750 referee calls, and 200 of the calls were overturned. We want to test the claim that men and women have equal success in challenging calls. What is the pooled sample proportion?Question 10 options:1)0.2802)0.2673)0.2764)0.547