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+

To get from Berkeley to the San Francisco airport (SFO) one can either take a shuttle van or drive. Either way, one must cross the San Francisco Bay Bridge. The shuttle van drops its passengers at the airport departure terminal. If one drives, he or she must park in a lot near the airport, then take a parking shuttle from the parking lot to the airport departure terminal. There is a 40% chance that the Bay Bridge will be congested with traffic. If it is, it takes 1.1 hours to drive to the parking lot. If not, it takes 40 minutes to drive to the parking lot. The parking shuttle runs every 10 minutes and takes 10 minutes to get to the airport departure terminal from the parking lot. Suppose it is equally likely that one must wait 0, 1, or 9 minutes for the parking shuttle once getting to the parking lot, and that the amount of time one must wait is independent of the amount of time it takes to drive to the parking lot from Berkeley. 2, If one takes the shuttle van from Berkeley directly…

A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population(s). more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. 5% of those who take the drug actually get headaches. all individuals who take the medication. What is the variable being examined for individuals in the population(s)? more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. whether or not a person who takes the drug gets a headache. 5% of those who take the drug actually get headaches. Is it categorical or quantitative? Quantitative Categorical Identify the parameter(s). the mean of those who take the drug who get a headache. the proportion of those who take the drug who get a headache. all individuals who…

A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population(s). 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. all individuals who take the medication. more than 5% of those who take the drug actually get headaches. What is the variable being examined for individuals in the population(s)? more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. whether or not a person who takes the drug gets a headache. 5% of those who take the drug actually get headaches.

By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %

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…

A gym wishes to evaluate the effectiveness of its programs. When a new member joins the gym, they meet with a trainer who designs a recommended routine based on the member’s current fitness and their goals. The recommended routines can be classified into high, medium, or low effort. Historically, 68% of the new members get a high effort routine, 21% get a medium effort routine, and the rest get a low effort routine. After the first six months as members, the gym surveys the members’ adherence to the recommended routine. The gym classifies a member’s performance as optimal if they follow the recommended routine for the six months, or as inferior otherwise. According to the historical results of the survey, 84% of the members with a low effort routine, 22% of the members with a medium effort routine, and 69% of the members with a high effort routine report optimal performance. After the first six months of joining the gym, a member can obtain different results: they can either…

The Bureau of Transportation reports on-time performance for airlines at major airports.  JetBlue, United, and US Airways share Terminal C and Boston's Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights. a. Develop a contingency table (table of joint probabilities and marginal probabilities). b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time? c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways?  d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?

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.