two little questions

True or False Question A random sample of 100 urban residents reveals that 50 believe in angels whereas in a random sample of 100 rural residents it is found that 65 believe in angels. We test the null hypothesis that the percentage of urban and rural residents who believe in angels is the same against the alternative that it is higher for rural residents. Based on this data, the corresponding test statistic is 2.165 and we reject the null hypothesis at a significance level a = 10%. True False True or False Question The University of Ottawa is interested in offering its employees one of two employee benefit packages. A random sample of the university's employees is collected, and each person in the sample is asked to rate each of the two packages on an overall preference scale of 0 to 100. The results are package A: 45, 67, 63, 50, 77, 60, 47, 39, 56, 68, 70 package B: 56, 79, 60, 45, 85, 39, 50, 41, 50, 69, 82 After analyzing the data, the University concludes that its employees prefer, on average, one package over the other, i.e., there is a significant difference between the two packages, at significance level a = 0.05. True False