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Stat 2 Lab #12: The sample percentage Learning objectives: 0 Construct box models for classifying and counting 0 Calculate the expected values and SE5 for

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Stat 2 Lab #12: The sample percentage Learning objectives: 0 Construct box models for classifying and counting 0 Calculate the expected values and SE5 for a sample percentage 0 Use the normal approximation to calculate the chances of sample percentages falling into an interval o Reason about the accuracy of sample percentages with different sample sizes. 1. 500 draws are made at random from the box containing 60,000 tickets labeled 0 and 20,000 tickets labeled 1. Draw a picture like that at the beginning of the lecture video called "The Sample Percentage\" 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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