According to past studies, 27% 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 27%. He tests his claim by choosing 190 gamers at random and having each of them use a pair of newly-manufactured VR glasses. Of these gamers, 63 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 27%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: 0 O

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Standard Normal Distribution
Step 1: Select one-tailed or two-tailed,
One-tailed
0.3-
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2-
0.1-
Step 3: Enter the test statistic.
(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.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is
enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using
modern VR glasses.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is
not enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using
modern VR glasses.
O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there
is enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using
modern VR glasses.
O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So,
there is not enough evidence to conclude that more than 27% of all gamers will experience motion sickness
from using modern VR glasses.
Transcribed Image Text:Standard Normal Distribution Step 1: Select one-tailed or two-tailed, One-tailed 0.3- O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2- 0.1- Step 3: Enter the test statistic. (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. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using modern VR glasses. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using modern VR glasses. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using modern VR glasses. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that more than 27% of all gamers will experience motion sickness from using modern VR glasses.
According to past studies, 27% 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 27%.
He tests his claim by choosing 190 gamers at random and having each of them use a pair of newly-manufactured VR glasses. Of these gamers, 63 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 27%.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
Ho: 0
O<O
OSO
H,: 0
O20
O=0
ロロ
(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 th
and n (1– p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you a
np=
n(1-p) = ]
(c) Perform a Z-test. Here is some information to help you with your Z-test.
Zo 05 is the value that cuts off an area of 0.05 in the right tail of the distribution.
p-p
• The value of the test statistic is given by z =
p(1-p)
n
olo
Transcribed Image Text:According to past studies, 27% 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 27%. He tests his claim by choosing 190 gamers at random and having each of them use a pair of newly-manufactured VR glasses. Of these gamers, 63 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 27%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: 0 O<O OSO H,: 0 O20 O=0 ロロ (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 th and n (1– p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you a np= n(1-p) = ] (c) Perform a Z-test. Here is some information to help you with your Z-test. Zo 05 is the value that cuts off an area of 0.05 in the right tail of the distribution. p-p • The value of the test statistic is given by z = p(1-p) n olo
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