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version 3 Questions 14 - 15 In the last election, a state representative received 30% of the votes cast. One year after the election, the representative organized a survey that asked a random sample of 100 people whether they would vote for her in the next election. Assume that her popularity has not changed since the last election. Use the following approximations: 0.15 0.39, 0.21 0.46, 0.3 0.55, and 0.7 0.84. Q14 Let p be the percentage of people who would vote for her among the random sample. What is the mean and standard deviation of p? (a) The mean is 0.3 and the standard deviation is 0.046 (b) The mean is 0.3 and the standard deviation is 0.055 (c) The mean is 0.5 and the standard deviation is 0.046 (d) The mean is 0.5 and the standard deviation is 0.055 (e) The mean is 0.5 and the standard deviation is 0.021 Answer 0.3 and 0.046 Q15 What is the probability that more than 40% of the sample would vote for her? Approximate the probability by a normal distribution using the central limit theorem. (a) 1.5% (b) 2.068% (e) 30% (d) 50% (e) Approximately 0% Answer 1.5%

Answer 1

[14. P( people voted) = 0.3 =p 5-0-3x02 - 0.046. 100 Hence, mean= 0.3 Stand duration = 0.0 46. 15. P(Å30.4) wie = 0.3 6.4 calculator or using table! ( 2 > 0. 4 ) = 6. 6 5 - PC407.) - 1.5 y.