Problem 3, Colquhoun (2014) claimed that, "if you use p=0.05 to suggest that you have made adiscovery, you will be wrong at least 30% of the time." He uses the following example.Suppose you pick a drug at random from 1000 candidate drugs and run a randomized controlled trial todetermine whether the drug truly is effective. You perform a hypothesis test that has a significance levelof 0.05 and a power of 0.8.A Write the null and alternative hypothesis for this hypothesis test, using words only (no math).BWhat is the probability of committing a Type l Error on this single hypothesis test?C. hat is the probability of committing a Type Il Error on this single hypothesis test?D. If you independently run experiments and hypothesis tests for four drugs, what is theprobability of committing at least one Type l Error when performing the four hypothesistests?E. 10% of the drugs truly have an effect, and the other 90% are no different from placebo. Find theprobability that your randomly chosen drug has an effect, given that you rejected the nullhypothesis

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Answered: Problem 3, Colquhoun (2014) claimed…

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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