500 draws are made at random from the box containing 60,000 tickets labeled 0 and 20,000 tickets labeled 1. Draw a picture as I did at the beginning of Lecture 52 to illustrate doing this repeatedly and keeping track of the sample percentage of 1’s. Now answer TRUE or FALSE for each, and explain briefly: (a) The expected value for the percentage of 1’s among the draw is exactly 25%. (b) The expected value for the percentage of 1’s among the draws is around 25%, give or take 2% or so. (c) The percentage of 1’s among the draws will be around 25%, give or take 2% or so. (d) The percentage of 1’s among the draws will be exactly 25%. (e) The percentage of 1’s in the box is exactly 25%. (f) The percentage of 1’s in the box is around 25%, give or take 2% or so.
500 draws are made at random from the box containing 60,000 tickets labeled 0 and 20,000 tickets labeled 1. Draw a picture as I did at the beginning of Lecture 52 to illustrate doing this repeatedly and keeping track of the sample percentage of 1’s.
Now answer TRUE or FALSE for each, and explain briefly:
(a) The expected value for the percentage of 1’s among the draw is exactly 25%.
(b) The expected value for the percentage of 1’s among the draws is around 25%, give or take 2% or so.
(c) The percentage of 1’s among the draws will be around 25%, give or take 2% or so. (d) The percentage of 1’s among the draws will be exactly 25%.
(e) The percentage of 1’s in the box is exactly 25%.
(f) The percentage of 1’s in the box is around 25%, give or take 2% or so.
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