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In this problem assume that the distribution of differences is approximately normal Note For degrees of freedom d f not in the Student s t table use the closest d f that is smaller In some situations this choice of d f may increase the P value by a small a therefore produce a slightly more conservative answer In the following data pairs A represents birth rate and B represents death rate per 1000 resident population The data are paired by counties in the Midwest A random sample of 16 counties gave the following information A 12 5 13 2 12 6 12 1 B 9 8 14 3 10 5 11 6 14 2 15 1 13 2 12 9 10 9 10 0 A 12 5 12 3 13 1 B 14 1 13 6 9 1 15 8 10 3 12 7 11 1 10 2 17 9 11 8 7 0 Do the data indicate a difference elther way between population average birth rate and death rate in this region Use a 0 01 Let d A B a What is the level of significance 0 01 15 7 9 2 State the null and alterate hypotheses Will you use a left tailed right tailed or two tailed test Hoi Hd 0 H Ha 0 right tailed OHR 0 H 0 left talled H H 0 H 0 two tailled Ho H0 H H 0 two talled b What sampling distribution will you use What assumptions are you making The standard normal We assume that d has an approximately uniform distribution O The standard normal We assume that d has an approximately normal distribution The Student s t We assume that d has an approximately uniform distribution O The Student s t We assume that d has an approximately normal distribution What is the value of the sample test statistic Round your answer to three decimal places 1 385 X c Find or estimate the P value OP value 0 500 O 0 250 P value 0 500 0 100 P value 0 250 0 050 P value 0 100 O 0 010 P value 0 050

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