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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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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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