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Week 4 DQ 1 State the criteria for choosing a t-test and a z-test. Then give an example of a problem in which you would use z-test to evaluate the data. Next, take the same example and modify it so that a t-test would be preferable. Explain why. Week 4 DQ 2 In general terms: • What is a null hypothesis? • What is an alternative hypothesis? Under American criminal jurisprudence, the accused is presumed innocent until proven guilty beyond the “shadow of a doubt.” • What is the null hypothesis? • What is the alternative hypothesis? • Explain how the Type I and Type II errors apply to the court system. • In court, what is the equivalent of the test statistic upon which the decision is based? • In statistical terms, how would you define “shadow of a doubt?” • In statistics, why should the decision always be stated in terms of the null hypothesis? (That is: reject the null hypothesis or fail to reject the null hypothesis.)