72 Chapter 3 Probability nts are both female and supporters of the tax ulation i

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72 Chapter 3 Probability nts are both female and supporters of the tax ulation is under age 40, it is found t tion of school age children against c 3.9 Suppose that in a given community w of the commu- against childhood diseases. If ten percent pport residents under age 40 who su increase, can it be said that gender and support increase are independent events? What is the e support your answer proposition is.52. Use this informa portion of inoculation supporters wh The proportion of residents over age in Exercise 3.3, find P(TI M d M rep- d P (T I M) where T indicates support for the tax increase an resents a male resident. 3.10 Given sensitivity of.82, specificity c of .20, find positive predictive value. 3.5 Suppose that for events A. A. B. B. P(81 A) = .22 P(A) 20 and P(B) 2. Use this information to construct a probability table showing all marginal and joint probabilities. 3.11 Given a normally distributed variab 12, find the follow 20 and P (B) =.72. Use this standard deviation (a) The area between 80 and 98. (b) The area below 74. (c) The area below 82 (d) The area between 72 and 94 (e) The area between 56 and 60. (f) The area above 104. (g) The area below 54. 3.6 What do each of the following represent? (a) The proportion of persons who test positive for some disease who actually have the disease. (b) The proportion of persons with some disease that (c) The proportion of persons who do not have some (d) The proportion of persons who test negative for test positive for the disease. disease who test negative for the disease. some disease who do not have the disease. (h) The area between 82 and 94. 3.12 Given an integer valued variable t normally distributed with mean 100 tion 8, use the normal curve to ap bility of randomly selecting a single population and finding that it meets 3.7 Use the provided table to find each of the following. +065.010 075 005 920 5

Explanation / Answer

3.6

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a. Positive Predictive Value is the proportion of people who test positive for some disease who actually have the disease  

b.Sensitivity . Sensitivity is the proportion of patients with disease who test positive.

c. Negative Predictive Value . Specificity is the proportion of patients with no disease who test negative.

d. Specificity - Proportion of persons who test negative for some disease who do not have the disease

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