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q3s - number is √ 2500 × 5 = 25 The SE of the percentage...

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Math 127B, Quiz 3 Solutions Thursday, February 10th, 2011 Name: Recitation Section: Ten minutes. Calculators allowed. 20 points maximum. 1. A survey organization wants to estimate the number of households that watch American Idol . In a sample of 2,500 households, 742 said that they did watch the show. Based on this information, (a) Estimate the percentage of households that watch American Idol. [ 6 points] Solution 742 2500 × 100% = 29 . 7% . (b) Estimate the SE for this percentage. [ 8 points] Solution The SD of the box is approximately 0 . 297 × 0 . 703 = 0 . 46 0 . 5. The SD for the
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Unformatted text preview: number is √ 2500 × . 5 = 25. The SE of the percentage is 25 2500 × 100% = 1% . (c) Compute a 95% conﬁdence interval for the percentage of homes that watch America idol. [ 4 points] [You may assume that the normal curve can be used] Solution 29 . 7% ± 2 × 1% = 29 . 7% ± 2%, which is 27.7% to 31.7%. (d) If the number of households with TV sets is 100 million, then roughly how many households in the US watch America Idol ? [ 2 points] Solution 29.7% of 100 million is 29.7 million. 1...
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