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According to past studies, 34% of gamers experience motion sickness from using virtual reality (VR) glasses. Because of changes to the way VR glasses are
According to past studies, 34% of gamers experience motion sickness from using virtual reality (VR) glasses. Because of changes to the way VR glasses are manufactured, a consumer advocate claims the proportion,p, of gamers who will experience motion sickness from using modern VR glasses is more than 34%. He tests his claim by choosing 185 gamers at random and having each of them use a pair of newly-manufactured VR glasses. Of these gamers, 77 say that using 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, of all gamers who will experience motion sickness from using modern VR glasses is greater than 34%. (a) State the null hypothesis H0 and the alternative hypothesis H1 that you would use for the test. H0: I: p [/3 _ S _ H1: I: 2L. =_. $_. X S (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 an 10 and n(1-p)310 under the assumption that the null hypothesis is true.) Here n is the sample size andp is the mpulation proportion you are testing. np=D x S n(1-p)= (CH n a z-test and tuna the p-value. l. 5 some information to help you with your Z-test. . 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 Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) l:l Step 3: Shade the area represented by the p-value. Step 4: Enter the pvalue. (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 all gamers who will experience motion sickness from using modern VR glasses. 0 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that more than 34% of all gamers will experience motion sickness from using modern VR glasses. 0 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that more than 34% 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 rejected. So, there is enough evidence to conclude that more than 34% 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 enough evidence to conclude that more than 34% of all gamers will experience motion sickness from using modern VR glasses
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