Final Exam form J MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Determine the standardized test statistic, z, to test the claim about the population proportion p 2 1) 0.700 given n = 50 and p = 0.612. Use a = 0.10. A) -2.18 B) -3.01 C) -1.36 D) -1.28 2) A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have 2) children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of 100 doctors results in 83 who indicate that they recommend brand Z. The test statistic in this problem is approximately (round to the nearest hundredth): A) -1.83 B) 2.33 C) -1.99 D) -2.33 3) Find the standardized test statistic, z, to test the hypothesis that p1 # p2. Use a = 0.02. The sample 3 ) statistics listed below are from independent samples. Sample statistics: n1 = 1000, x1 = 250, and n2 = 1200, x2 = 195 A) 4.761 B) 2.798 C) 5.087 D) 3.212 4) According to insurance records a car with a certain protection system will be recovered 91% of the 4) time. Find the probability that 5 of 6 stolen cars will be recovered. A) 0.09 B) 0.337 C) 0.91 D) 0.833 5) A human gene carries a certain disease from the mother to the child with a probability rate of 34%. 5 ) That is, there is a 34% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that at least one of the children get the disease from their mother. Round to the nearest thousandth. A) 0.287 B) 0.148 C) 0.713 D) 0.444 6) Jim buys his school supplies in bulk. On one particular shopping trip he bought 5 red pens at $1.29 6) each, 3 blue pens at $1.49 each, 6 green pens at $1.79 each and 9 black pens at $0.99 each. What was the average cost of a pen? A) $1.39 B) $0.99 C) $1.33 D) $1.29 7) Find the test statistic, t, to test the hypothesis that u1 = M2. Two samples are randomly selected and 7) come from populations that are normal. The sample statistics are given below. n1 = 14 n2 = 12 x1 = 15 x2 = 16 $1 = 2.5 $2 = 2.8 A) -1.558 B) -0.954 C) -0.909 D) -0.915