Vinnie is trying to modify a die by rounding off some edges. He is trying to increase the probability of rolling a 5. a) What is the probability of rolling a 5 with a fair die? p = b) Vinnie wants to see, "Do I have statistically significant evidence that my altered die will roll a 5 more often than a fair die?" What should he use as as the null and alternative hypothesis for this test? Ho: H1: He tests his die by rolling it 4100 times, and the die comes up five 738 times during these rolls. c) Find p and the corresponding z-score for Vinnie's sample data. %3D Z = d) Find the p-value which corresponds to the test statistic you just found. Then sketch a bell curve that shows the expected value of p (if Ho is true), you sample statistic, p , the corresponding z-scores and the p-value on your sketch. p-value = e) Tell me whether you "reject Ho" or "fail to reject Ho" when testing at the 5% significance level and write your conclusion in 'plain English'.
Vinnie is trying to modify a die by rounding off some edges. He is trying to increase the probability of rolling a 5. a) What is the probability of rolling a 5 with a fair die? p = b) Vinnie wants to see, "Do I have statistically significant evidence that my altered die will roll a 5 more often than a fair die?" What should he use as as the null and alternative hypothesis for this test? Ho: H1: He tests his die by rolling it 4100 times, and the die comes up five 738 times during these rolls. c) Find p and the corresponding z-score for Vinnie's sample data. %3D Z = d) Find the p-value which corresponds to the test statistic you just found. Then sketch a bell curve that shows the expected value of p (if Ho is true), you sample statistic, p , the corresponding z-scores and the p-value on your sketch. p-value = e) Tell me whether you "reject Ho" or "fail to reject Ho" when testing at the 5% significance level and write your conclusion in 'plain English'.
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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