To compare customer satisfaction levels of two competing internet service provider companies, 174customers of Company 1 and 355 customers of Company 2 were randomly selected and asked to ratetheir internet service provider companies on a five-point scale, with 1 being least satisfied and 5 mostsatisfied. The survey results are summarized in the following table: Company 1 Company 2 n1 = 174 n2 = 355 Xi = 3.51 X2 = 3.24 S1 = 0.51 S2 = 0.52 4.1 Test at the 1% level of significance whether there is sufficient evidence toconclude that Company 1 has a higher mean satisfaction rating than does Company 2. (Ensure you use the following steps: Null hypothesis, Alternativehypothesis, Test statistic, Critical value, Decision with reason, Interpretation 4.2 Calculate the corresponding p-value 4.3 Interpret the p-value (not a generalized definition from text book)
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- The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data isshown below. Forty-two of the restaurants received a rating of 1on quality and 1on meal price,39 of the restaurants received a rating of 1on quality and 2 on meal price, and so on.Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. a. Develop a bivariate probability distribution for quality and meal price of a randomly selected restaurant in this Canadian city.Let x = quality rating and y = meal price b. Compute the expected value and variance for quality rating,x. c. Compute the expected value and variance for meal price, d. The Var(x +y) = 6691. Compute the covariance of x and y.What can you say about the relationship…A national company engaged in the manufacture of air-conditioners offers three basic products in terms of comparative prices-low, medium, and high. Past records show that the percentage sales in three categories are 45, 30, and 25, respectively. A sales promotion was conducted highlighting the advantages of high-priced air-conditioners. After the promotion, a random sample of 100 air-conditioners showed that the number of items sold in the low, medium, and high priced items are 30, 30, and 40, respectively. Test the hypothesis that the current pattern of sales does not differ from the historical pattern. Use a 1% level of significance.A survey of 900 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 57% of the females and 46% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 300 females, 171 reported window tinting as their preferred luxury upgrade of choice, while of 600males, 276 reported window tinting as their preferred luxury upgrade of choice. a. Determine the zstat, and the p-value. b.Determine the critical values and a conclusion c. Construct a 95% confidence interval estimate of the difference between the two population proportions.
- Using a theoretical framework from engineering sciences, the researcher believes that the physical set up of hospital rooms impacts rates of hand washing. After prolonged engagement, she observed the healthcare providers working on a medical/surgical floor of a hospital. As the result of her data analysis she purposefully selected 6 physicians, 10 nurses and 12 nursing aids to conducted in-depth interviews with. Subsequent to the analysis of that data she then purposefully selected 5 medical residents, 10 more nurses, the radiographers assigned to the portable imaging machine, and 15 patient transporters to conduct interviews with. She uses the data she collected and analyzed to develop a survey that she sent to 100 randomly selected hospitals across the northeast. What research design was used in this study? a. Mixed Methods b. Exploratory c. Convergent d. ExplanatoryA poll asked 946 adults "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade? The results indicated that 8% of the males and 17% of the females answered window tinting. The poll description did not state the sample sizes of males and females. Suppose that both sample sizes were 473 and that 40 of 473 males and 80 of 473 females reported window tinting as their preferred luxury upgrade of choice. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.01 level of significance? Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≥π2 H1: π1<π2 B. H0: π1≤π2 H1: π1>π2 C. H0: π1<π2 H1: π1≥π2 D. H0: π1=π2 H1: π1≠π2 E. H0: π1≠π2 H1: π1=π2 F. H0: π1>π2…To gauge the effectiveness of the OHaganBooks.com site, you recently commissioned a survey of online shoppers. According to the results, 7% of online shoppers visited OHaganBooks.com during a 1-week period, while 8% of them visited at least one of OHaganBooks.com's two main competitors: JungleBooks.com and FarmerBooks.com. Assuming that visiting OHaganBooks.com was independent of visiting a competitor, what percentage of online shoppers visited either OHaganBooks.com or a competitor?
- In a survey of families in which both parents work, one of the questions asked was, “Have you refused a job, promotion, or transfer because it would mean less time with your family?” A total of 200 men and 200 women were asked this question. “Yes” was the response given by 29% of the men and 24% of the women. Based on this survey, can we conclude that there is a difference in the proportion of men and women responding “yes” at the 0.05 level of significance?Suppose that two brands of gasoline were being compared for mileage. Samples of each brand were used in identical cars under identical conditions. Nine tests were made of Brand I and six tests of Brand II. Are the two brands significantly different? What test is most appropriate?A hearing specialist conducts a study on hearing loss at certain frequencies among a group of patients in a retirement community. Of 94 residents tested, 10 had significant hearing loss at low frequencies but not high, 40 had a significant loss at high frequencies but not low, and 26 showed no significant hearing loss at all. How many residents had hearing loss at both low and high frequencies?
- A poll asked 946 adults "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade? The results indicated that 8% of the males and 17% of the females answered window tinting. The poll description did not state the sample sizes of males and females. Suppose that both sample sizes were 473 and that 40 of 473 males and 80 of 473 females reported window tinting as their preferred luxury upgrade of choice. b. Find the p-value in (a) and interpret its meaning. The p-value is _______ (Round to three decimal places as needed.) Interpret the p-value. The p-value is the probability that in a random sample of 946 adults, the difference between the proportions of males and females who said they prefer window tinting as a luxury upgrade will be _________the difference in this sample, assuming that the proportion of males who said they prefer window tinting as a luxury upgrade is ________the proportion for females…Two groups of people, each consisting of 100 people, are afflicted with a certain disease. Although serum is given to group A in the treatment of the disease, group B is not given. In the end, 75 people from group A and 65 from group B recover from the disease. Accordingly, what would be the hypothesis at the 5% significance level that the recovery rate is higher in patients given serum?A sociologist wants to investigate the question, "Is there a relationship between texting during class and grade-point-average (GPA) among high school seniors in a large district?" Which study design is most appropriate? Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester, obtain each student’s GPA from the appropriate admissions and records office. Compare the GPA of students who routinely text during class to the GPA of students who do not text during class. Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester,…