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1. The standard deviation of the diameter at breast height, or DBH, of the slash pine tree is less than one inch. Identify the Type I error. (Points : 1) Fail to support the claim σ < 1 when σ < 1 is true. Support the claim μ < 1 when μ = 1 is true. Support the claim σ < 1 when σ = 1 is true. Fail to support the claim μ < 1 when μ < 1 is true. 2. Use the following sample sizes and numbers of successes for this question. Medical researchers reviewing the risk of death for elderly patients taking dementia drugs found the following data. Assume a .05 significance level for testing the claim that the proportions are not equal. Also, assume the two simple random samples are independent and that the conditions np ≥ 5 and nq ≥ 5 are satisfied. Dementia Drugs Placebo Number of patients 500 450 Total deaths 23 12 Construct a 95% confidence interval estimate of the odds ratio of the odds for death in the placebo group to the odds for death in the dementia drugs group. Give your answer with two decimals, e.g., (12.34,56.78) (Points : 0.5) 3. Ophthalmologists studying the treatment of using an infrared laser procedure in ten patients with vision loss caused by dry age-related macular degeneration (AMD) found the following data on visual acuity (VA) before and after the procedure. Assume a .05 significance level to test the claim that there is a difference between the number of VA lines that can be read by individuals before and after the procedure. Also, assume the data consist of matched pairs, the samples are simple random samples, and the pairs of values are from a population having a distribution that is approximately normal. Individual 1 2 3 4 5 6 7 8 9 10 VA Lines Read Before 3 4 2 4 5 3 4 5 3 3 Laser Procedure VA Lines Read After 4 4 5 5 6 3 7 6 3 5 Laser Procedure Find the t test statistic. Give your answer with two decimals, e.g., 9.87 . (Points : 0.5)
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4. Given: There is a linear correlation coefficient very close to 0 between mothers who smoked during pregnancy and the incidence of influenza in their babies. Identify the choice below that contains a conclusion with a common correlation error. (Points : 1) Conclusion: the frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies Conclusion: an increase in the frequency of mothers' smoking is not linearly related to an increase in the incidence of influenza in their babies Conclusion: a decrease in the frequency of mothers' smoking is not linearly related to a decrease in the incidence of influenza in their babies Conclusion: there is not a linear relationship between the frequency of mothers' smoking and the incidence of influenza in their babies 5. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely. Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec 1 3 2 7 14 20 37 33 16 6 2 3 Do you reject the null hypothesis, at the .05 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5) 6. Using a .01 significance level, test the claim that the proportions of people who favor/oppose pro-choice on the abortion issue are the same for the males and females. Gender Male Female Favor Pro-Choice 65 120 Oppose Pro-Choice 42 38 Determine the value of the χ 2 test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)
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