Introduction to hypothesis tests for a population proportion usin.According to past studies, 33% of gamers experience motion sickness from using virtual reality (VR) glasses. Because of changes to the way VR glasses aremanufactured, a consumer advocate claims the proportion, p, of gamers who will experience motion sickness from using modern VR glasses is more than 33%.He tests his claim by choosing 180 gamers at random and having each of them use a pair of newly-manufactured VR glasses. Of these gamers, 68 say thatusing the glasses makes them motion sick.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to conclude that the proportion, p, ofall gamers who will experience motion sickness from using modern VR glasses is greater than 33%.(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.Ho: 0OSOH: 0(b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10 andn(1-p) 2 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.np=|n(1-p) =(c) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.p-pp(1-p)• The value of the test statistic is given by• The p-value is the area under the curve to the right of the value of the test statistic.Standard Normal DistributionExplanationCheck2021 MOGraw Hl LLC. Al Rights ReservedTerms of Use I Privacy Center Accos V lard Normal DistributionEspañolStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed03+Step 2: Enter the test statistic.(Round to 3 decimal places.)02Step 3: Shade the area represented bythe p-value.0.1-Step 4: Enter the p-value.(Round to 3 decimal places.)(d) Based on your answer to part (c), choose what can be concluded, at the 0.05 level of significance, about the proportion of allgamers who will experience motion sickness from using modern VR glasses.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enoughevidence to conclude that more than 33% of all gamers will experience motion sickness from using modern VR glasses.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is notenough evidence to conclude that more than 33% of all gamers will experience motion sickness from using modern VRglasses.O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence toconclude that more than 33% of all gamers will experience motion sickness from using modern VR glasses.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughExplanationCheckO 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Conter Accessibility473°F Mastly cie回回国口回

Given : n=180 , X=68 , p0=0.33 , α=0.05 The estimate of the sample proportion is ,…

Answered: According to past studies, 33% of…

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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