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12 - Lesson 5 Homework Solutions 7.6 Exit poll and n a The...

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Lesson 5 Homework Solutions 7.6 Exit poll and n: a) The interval of values within the sample proportion will almost certainly fall within three standard errors of the mean: 0.53 to 0.59. b) Based on the interval calculated in (a), it would be unusual to observe a sample proportion of 0.60. c) 0095 . 559 . 0 565 . 0 - = 0.63. Since 0.565 falls 0.63 standard errors above the mean proportion of 0.559, it would not be unusual to observe a sample proportion of 0.565. 7.8 Relative frequency of heads : a) sample proportion probability 0 0.5 1 0.5 b) sample proportion probability 0 0.25 ½ 0.50 1 0.25 c) sample proportion probability 0 0.125 1/3 0.375 2/3 0.375 1 0.125 d) The distribution begins to take a bell shape. 7.10 Effect of n on sample proportion : a) (i) standard error = ( 29 n p p - 1 = ( 29 100 5 . 1 5 . - = 0.05 (ii) standard error = ( 29 n p p - 1 = ( 29 1000 5 . 1 5 . - = 0.0158 b) The sample proportion is likely to fall within three standard errors of the mean. In (i), with a mean of 0.50 and a standard error of 0.05, this would be between 0.35 and 0.65. In (ii), with a mean of 0.50 and a standard error of 0.0158, this would be between 0.45 and 0.55.
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