# MATHEMATICS

Question 47 A sample size of 80 is to be used to test the hypotheses H0: µ = 29 vs. Ha: µ > 29 where µ is the true average age of a person when he/she gets married. Determine the appropriate rejection region with a significance level of alpha/2 = 0.005. Reject H0 if z >2.33 Reject H0 if z >2.58 Reject H0 if z >1.645 Reject H0 if z >1.28

Question 48 In a hypothesis test, the test statistic was calculated to be 1.76. The rejection region is -2.33 The null hypothesis is accepted to be true. The null hypothesis is rejected since the test statistic is within the rejection region. The null hypothesis is not rejected since the test statistic is within the rejection region. The null hypothesis is rejected since the test statistic proves it to be false.

Question 49 When the alternative hypothesis is formulated in a large-sample statistical test as µ > µ0 or µ One-tailed test Two-tailed test Type I test Type II test What are the two types of errors that can be made in hypothesis testing? Exception and Rejection Type I and Type II Analytical and Iterative Propogation and Human Error yes no

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