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a) Create a 95% confidence interval for the true proportion of times The Masked Royale rolls above a 10. Use this interval to determine whether the Masked Royale is truly unlucky or not. b) The Masked Royale decides to resample and create a new 95% confidence interval. Determine the sample size needed to keep the margin of error for the Masked Royale's interval at 0.01. You can use the previous sample's proportion in your calculations.

a) Create a 95% confidence interval for the true proportion of times The Masked Royale rolls above a 10. Use this interval to determine whether the Masked Royale is truly unlucky or not. b) The Masked Royale decides to resample and create a new 95% confidence interval. Determine the sample size needed to keep the margin of error for the Masked Royale's interval at 0.01. You can use the previous sample's proportion in your calculations.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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2. In Dungeons and Dragons, a 20-sided die is often used in place of the standard 6 sided die. A roll above a 10 (i.e., 11-20) is usually considered a “good" roll. The Masked Royale thinks he's unlucky in this department. To test this theory, he rolls a 20-sided die 161 times while playing. 74 rolls are above a 10. a) Create a 95% confidence interval for the true proportion of times The Masked Royale rolls above a 10. Use this interval to determine whether the Masked Royale is truly unlucky or not. b) The Masked Royale decides to resample and create a new 95% confidence interval. Determine the sample size needed to keep the margin of error for the Masked Royale's interval at 0.01. You can use the previous sample's proportion in your calculations.
Transcribed Image Text:2. In Dungeons and Dragons, a 20-sided die is often used in place of the standard 6 sided die. A roll above a 10 (i.e., 11-20) is usually considered a “good" roll. The Masked Royale thinks he's unlucky in this department. To test this theory, he rolls a 20-sided die 161 times while playing. 74 rolls are above a 10. a) Create a 95% confidence interval for the true proportion of times The Masked Royale rolls above a 10. Use this interval to determine whether the Masked Royale is truly unlucky or not. b) The Masked Royale decides to resample and create a new 95% confidence interval. Determine the sample size needed to keep the margin of error for the Masked Royale's interval at 0.01. You can use the previous sample's proportion in your calculations.
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