week 3 E text Scott Ward

# This is assuming that if the trucks are painted

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This is assuming that if the trucks are painted yellow, the accidents will be less often than if they are painted red. (g) Is the normality assumption fulfilled? Explain. I would assume that they are. o Chapter Exercises 10.44 Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill. (a) State the appropriate hypotheses. H o : p(inactive) - p(active) = 0 H 1 : p(inactive) - p(active) > 0 (b) Obtain a test statistic and p-value. Interpret the results at α = .01. p-hat(inactive) = 97/2081 = 0.0466 p-hat(active) = 57/2325= 0.0245 p-bar = (97+57)/(2081+2325) = 0.0350 q-bar = 1-p-bar = 0.9650

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z(0.0466-0.0245) = (0.0221) / sqrt[(0.035 x 0.965 / 2081) + (0.035 x 0.965 / 2325)] = 3.9849 p-value = 0.0000338 since p-value is less than alpha, we will reject H 0 . (c) Is normality assured? (d) Is the difference large enough to be important? It is shown that there is some truth in H 1 .
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• Spring '12
• ALL
• Statistics, Statistical hypothesis testing, Statistical significance, lovastatin

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