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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Could you please answer number 3 and number 4?
A poll in June 2020 found that 83% of American parents believe that virtual learning instead of in- person learning widens the equity gap for students. A later poll in October 2020 asked 1025 American parents if they believe virtual learning instead of in- person learning widens the equity gap for students, and found that 820 believe that yes, virtual learning instead of in-person learning widens the equity gap for students. Does this mean that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, has decreased? Test at the 10% significance level. State the hypotheses. Но: р (? На: р (? Calculate the sample proportion. Round to four decimal places. Calculate the test statistic. Round to two decimal places. Z = Find the p-value. Give to four decimal places. p-value = State your decision. Since the p-value is less than 0.1, fail to reject Ho. Since the p-value is less than 0.1, reject Ho. | Since the…
Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 65%. After a series of gripping debates on campus, a political scientist claims that the proportion, p, of students at the college who say they're interested In their district's election results is now greater than 65%. A poll is commissioned, and 181 out of a random sample of 250 students at the college say they're interested in their district's election results. Is there enough evidence to support the political scientist's cdaim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the…
The website Data USA stated that in 2016, Texas had the lowest number of adults with a serious mental illness with an average of M=3.26% of the population affected. The state of Texas wants to test if they have a significantly decreased number of mental illness patients compared with the states with the (n=8) highest level of mental illness found. In 2016 the following states had the highest level of adult patients with mental illness: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. The alpha level for the study was set to α=.05 for the criteria. a. State the hypotheses of the study. b. Find the critical t value for this study c. Compute the one-sample t test. (Again calculate sample SD or s - and get SEM before calculating t.) d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher? Do you reject the null hypothesis? Report the t test results in APA…
Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
As a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC. The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night. A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate. 85 homes were watching CNN and NSNBC cable stations. At the 0.05 significant level, can we conclude that the guideline is still reasonable?
According to Inc.com, 71% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. A survey of 22- to 30 -year-old job seekers showed that 310 of the 370 respondents use social media in their job search. In addition, 275 of the 370 respondents indicated they have electronically submitted a resume to an employer.
There are 64% of US adults who own a smartphone, up from 35% in 2011. Smartphones have become an important way for Americans to communicate, go online, access and share information. The Pew Research Center surveyed 1635 people in November, 2014 on smartphone ownership. Their goal was to learn how Americans use their smartphone devices. Identify the population and the sample.
A tv report conducted a survey of 681 people in Washington state and found that 26% of the population believe that Mt Saint Helen's will have a repeat eruption this year. In the accompanying dialogue, the reporter states, we are 91% confident that the true proportion of people in Washington state who believe that Mt saint Helen's wil have a repeat eruption this year lies between 20% and 32%. What does 91% represent in the report?

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