The management of a university did a survey on students’ hobbies. They found that 5% of the students interviewed enjoy neither reading nor playing computer games, 60% enjoy playing computer games but not reading, and 15% enjoy both reading and playing computer games. (a) Determine the percentage of the students interviewed who enjoy reading. (b) Determine the percentage of the students interviewed who enjoy reading or playing computer games. (c) If a student interviewed enjoys reading, what is the probability that this student will also enjoy playing computer games?

A study by a reputable research group captured multitasking activities of adults who use different devices while watching TV. The study reported that 320 of 442 ​(72​%) smartphone users​ sampled, 192 of 350 (55​%) computer users​ sampled, and 139 of 260 (53​%)tablet users sampled used their device to check social media unrelated to the video content while watching TV. Complete parts​ (a) through​ (c) below. a. Is there evidence of a significant difference among the​ smartphone, computer, and tablet users with respect to the proportion who use their device to check social media unrelated to the video content while watching​ TV? (Use α=0.10​.)   Your answer is correct. The test statistic is χ2STAT=35.860 ​ The critical value for α=0.10   Please help and explain how to achieve critical value

Inspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red" survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was "When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment. We want to test Ho: The distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey,…

A college president wanted to know how 10-year-after-graduation salaries for aca- demic majors (English, psychology, math, etc.) compared to salaries for career-oriented majors (business, engineering, computer science, etc.). She matched 84 academic majors at her college with 84 career-oriented majors on the basis of SAT scores and GPA. She found MAcademic = $59,250, MCareer =$61,000, sD = 9,500. Use an alpha of .05 and a two-tailed test to determine if there is a difference in salaries.

Researchers conducted two surveys about teens are their use of social media.  The first survey asked a random sample of 800 U.S. teens about their use of Instagram.  A second survey asked the same questions to a random sample of 2253 Canadian teens.  In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram.  Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram.   Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens?      No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.      Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both…

Sean is the star shortstop for his baseball team. He notices that his team typically scores about half as many runs as he has singles, and that his team is about 10% more likely to win a game for each run scored.  How likely is it that the team wins if he has 6 singles?  How many singles did Sean hit if the team was 70% likely to win?

A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased.  In the local area there are three main retailers: W-Mart, Tag, and URToy.  For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. Compute the percentage of variance explained by the group differences for these data. Q: Percentage and variance explained = ?

A reporter for a local television station visits the city's new upscale shopping mall the day before Christmas to interview shoppers. He questions the first 25 shoppers he meets outside one of department stores at the mall. He asks them whether their overall feelings about Christmas shopping are positive, neutral, or negative. Select the reason(s) why it may be risky to act as if the first 25 shoppers at this particular location are an SRS of all shoppers in the city. Surveying shoppers the day before Christmas is a convenience sample, so it is a simple random sample. Shoppers at the mall the day before Christmas does not guarantee every shopper in the population has an equal chance to be in the sample. Surveying shoppers at the mall the day after Christmas may not be a good represenation of all shoppers in the city. Having the reporter ask questions is not a double‑blind study.

In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" Two hundred men and 200 women were asked this question. Twenty-nine percent of the men and 24% of the women responded "yes." a. Based on this survey, can we conclude that there is a difference in the proportion of man and women responding “yes" at the 0.05 level of significance? (i) State the null and alternative hypotheses (ii) What test statistics would you use and why? (iii) Compute the value of the test-statistic. (iv) What rejection region would you use? (v) State your conclusion in the context of the problem. b. What P-value is associated with this test? Based on this P-value, could H. be rejected at significance level 0.08? c. Find a 95% confidence interval for the difference between the proportion of men and women responding "yes." Based on this confidence interval, would your conclusion be the…

15 wheelchair users were randomly assigned to three groups with 5 in each group. These participants navigated in virtual-reality settings. Group 1 participants were in the virtual-reality setting (a building) as wheelchair users. Group 2 participants were in the virtual-reality setting in a wheelchair pushed by a walking person. Group 3 participants walked without aid in the virtual-reality setting. Joan measured the time each participant needed to complete the navigation of the virtual-reality setting. What is the independent variable(s)?