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According to past studies, 29% 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 29%. 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, 57 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 0.10 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 29%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: p = 0.29 H₁: p > 0.29 P 0<0 □□ ロロ 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that np ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. xp=43.5 n(1-p) = 106.5 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. . The value of the test statistic is given by P-P p(1-p) 11 ■ 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. ⒸOne-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 3.33 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.0004 03- 02- 01+

According to past studies, 29% 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 29%. 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, 57 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 0.10 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 29%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: p = 0.29 H₁: p > 0.29 P 0<0 □□ ロロ 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that np ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. xp=43.5 n(1-p) = 106.5 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. . The value of the test statistic is given by P-P p(1-p) 11 ■ 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. ⒸOne-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 3.33 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.0004 03- 02- 01+

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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According to past studies, 29% 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 29%. 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, 57 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 0.10 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 29%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: p = 0.29 H₁: p > 0.29 P 0<0 □□ ロロ 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that np ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. xp=43.5 n(1-p) = 106.5 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. . The value of the test statistic is given by P-P p(1-p) 11 ■ 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. ⒸOne-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 3.33 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.0004 03- 02- 01+
Transcribed Image Text:According to past studies, 29% 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 29%. 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, 57 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 0.10 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 29%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: p = 0.29 H₁: p > 0.29 P 0<0 □□ ロロ 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that np ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. xp=43.5 n(1-p) = 106.5 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. . The value of the test statistic is given by P-P p(1-p) 11 ■ 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. ⒸOne-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 3.33 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.0004 03- 02- 01+
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