MTH 231 Week 4 DQ 1 and DQ 2

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.)

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