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You roll a die 70 times and record the sample proportion of fives, and you want to test whether the die is biased to give more fives than a fair die would ordinarily give. To find the p-value for your sample data, you create a randomization distribution of proportions of fives in many simulated samples of size 70 with a fair die. (a) State the null and alternative hypotheses. Ho: H μ Enter the exact answer in fraction form. center = (b) Where will the center of the distribution be? 441 :: T₂ I vs Ha:¦ p ₂ :: p :: P₁ P₁ ^ P2 I T P2 :: 1/6 p :: T I₁

You roll a die 70 times and record the sample proportion of fives, and you want to test whether the die is biased to give more fives than a fair die would ordinarily give. To find the p-value for your sample data, you create a randomization distribution of proportions of fives in many simulated samples of size 70 with a fair die. (a) State the null and alternative hypotheses. Ho: H μ Enter the exact answer in fraction form. center = (b) Where will the center of the distribution be? 441 :: T₂ I vs Ha:¦ p ₂ :: p :: P₁ P₁ ^ P2 I T P2 :: 1/6 p :: T I₁

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You roll a die 70 times and record the sample proportion of fives, and you want to test whether the die is biased to give more fives than a fair die would ordinarily give. To find the p-value for your sample data, you create a randomization distribution of proportions of fives in many simulated samples of size 70 with a fair die. (a) State the null and alternative hypotheses. Ho: H μ Enter the exact answer in fraction form. center = (b) Where will the center of the distribution be? 441 :: T₂ I vs Ha:¦ p ₂ :: p :: P₁ P₁ ^ P2 I T P2 :: 1/6 p :: T I₁
Transcribed Image Text:You roll a die 70 times and record the sample proportion of fives, and you want to test whether the die is biased to give more fives than a fair die would ordinarily give. To find the p-value for your sample data, you create a randomization distribution of proportions of fives in many simulated samples of size 70 with a fair die. (a) State the null and alternative hypotheses. Ho: H μ Enter the exact answer in fraction form. center = (b) Where will the center of the distribution be? 441 :: T₂ I vs Ha:¦ p ₂ :: p :: P₁ P₁ ^ P2 I T P2 :: 1/6 p :: T I₁
(c) Give an example of a sample proportion for which the number of 5's obtained is less than what you would expect in a fair die. Round your answer to two decimal places. P || i (d) Will your answer to part (c) lie on the left or the right of the center of the randomization distribution? O Left O Right (e) To find the p-value for your answer to part (c), would you look at the left, right, or both tails? O Left Right Both
Transcribed Image Text:(c) Give an example of a sample proportion for which the number of 5's obtained is less than what you would expect in a fair die. Round your answer to two decimal places. P || i (d) Will your answer to part (c) lie on the left or the right of the center of the randomization distribution? O Left O Right (e) To find the p-value for your answer to part (c), would you look at the left, right, or both tails? O Left Right Both
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