Answer question 8. Question 7 is just for reference Expert Q&A; Done 8. Th ree d

Question

Answer question 8. Question 7 is just for reference Expert Q&A; Done 8. Th ree diflerent people take simple random samples of size 400 from the box in exercise 7, without knowing its contents. The number of 1's in the first sample is In the third, it is 98. Each person estimates the SE by the 72. In the second, it is 84. bootstrap method. first person estimates the percentage of I's in the box as and figures this estimate is likely to be off byor (b) The second person estimates the percentage o f 1's in the box as- or so. (c) The third person estimates the percentage of I's in the figures this estimate is likely to be off by or so. box as- and

Explanation / Answer

Question 8

(a) The first person estimate the percentage of 1's in the box as 72/400 = 0.18 (18 percent), and figures this estimate is likely to be off by sqrt (0.18 * 0.82/400) = 0.0192 or 1.92% or so.

(b) The first person estimate the percentage of 1's in the box as 84/400 = 0.21 (21 percent), and figures this estimate is likely to be off by sqrt (0.21 * 0.79/400) = 0.0204 or 2.04% or so.

(c) The first person estimate the percentage of 1's in the box as 98/400 = 0.245 (24.5 percent), and figures this estimate is likely to be off by sqrt (0.245 * 0.755/400) = 0.0215 or 2.15% or so.

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