In a commercial survey involving 1000 person on brand preference, 120 were found to prefer brand X only, 200 persons prefer brand Y only, 150 persons prefer brand Z only, 370 prefer either X or Y but not Z, 450 prefer brand Y or Z but not x, and 370 prefer either brand Z or X but not Y, and none prefer all three brands at a time. How many persons have no brand preference with any of the three brands?
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- ) A recent poll surveyed 1587 adults (18 years of age and older, residing in the contiguous United States, contacted by phone from randomly selected homes). Residents who agreed to participate were categorized according to their political party preference (Democrat, Republican or other) and their gender (male or female). To make life easier, we’ll focus on the responses from the south (37% of the sample or 588 people). Our question is about the “Gender Gap” in American politics (the gender gap is described as differences in voting preferences for men and women). Is voting preference independent of gender? What test should you use and why?A survey of 1000 adult Internet users found that 55% of 18-to 24- year –olds, 60% of 25-to 34- year –olds, 64% of 35-to 49- year –olds, 78% of 50 – to- 64 year-olds, and 85% of 65 – to- 89-year-olds opposed online ads tailored to their individual interests. Supposed the survey was based on 200 respondents in each of the five age groups. Construct the contingency table based on the information given. Compute the expected frequencies for each cell. Compute. Is there evidence of a significance difference among the age groups with respect to the proportion who preferred to use media social as the medium of communication? (Use α=0.01)A study was conducted on some 400 employees of a certain company to establish the favorite beverage from among Coffee, Tea and Cocoa. The following was observed: 145 employees preferred Coffee, 165 preferred Tea while 185 preferred Cocoa. The number of employees who did not choose any of the three beverages was similar to those that preferred Tea and Coffee. 65 employees preferred Coffee and Cocoa. The number that indicated a preference for Coffee or Cocoa but not Tea was 180. If the number that did not indicate a preference for any of the three beverages was 55, use the information to answer the questions that follow: i.Represent the above information in a well labeled Venn diagram. ii. Obtain the number of employees that preferred Tea or Cocoa but not Coffee. iii.Calculate the number of employees that prefer at most one beverage.
- What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 53 college students were surveyed and r = 11 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use ? = 0.05. (a) What is the level of significance? (b) What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.An opinion poll contacts 1021 adults and asks them, which political party do you think has better ideas for leading the country in the twenty first century? In all, 723 of the 1021 day, the democrats. The sample in the setting is? (a) all 220 million adults in the U.S. (b) the 1022 people interviewed (c) the 723 people who chose the democrats.
- For a class project, a group of students were curious if there was a connection between color preferences and movie preferences (e.g., if people who liked brighter colors preferred uplifting/funny movies and people who liked darker colors liked dramas). Participants in the study were first asked them to select which color they most preferred, choosing between: red, blue, yellow, or green. Next, participants watched the movie Everything Everywhere All at Once and were asked to give it a rating between 0 and 100. Later, the students tested whether there was a difference in rating based on color preference. Which of the following analyses would BEST apply to this study?brandon conducted a research to determine the preference of students during online classes. From the 250 students who participated in the study, 85 wanted to have synchronous classes, 90 wanted to have asynchronous classes, and 100 wanted to have blended learning. From the respondents, it was seen that 35 preferred either synchronous and asynchronous, 10 preferred synchronous and blended learning, 25 preferred blended learning and asynchronous, and exactly 55 liked two of the mode of learning. 1. How many students liked synchronous, asynchronous, and blended learning? 2. How many students liked synchronous learning, but did not preferred asynchronous or blended learning? 3. How many students did not like either of the three modes of learning? 4. Draw the initial and final Venn diagram.In a series of studies, Sebastian Deri and his colleagues (2017) asked multiple groups about the number of friend groups they had and how often they attended different social events. They then asked participants how they thought their own numbers compared to other people's: Did participants see themselves as less social, the same as, or more social than others? In the first study, the researchers reported that: "Three hundred four participants from Amazon's Mechanical Turk (150 women; Mage = 37.1; 78% White, 10% Black, and 6% Asian) completed a survey in exchange for modest payment" (p. 860). What do the researchers mean by "Amazon's Mechanical Turk" with respect to their sample of participants? O A. An archival data set that already exists and from which researchers can use data O B. An online tool that researchers can use to recruit people to participate in research in exchange for a small payment O C. An e-book sold by Amazon that includes contact information for possible…
- A radio station surveyed 110 students to determine the sports they liked. They found 45 liked basketball, 70 liked football, and 35 liked neither type. Let U = {all students surveyed}, B = {students who liked basketball}, F = {students who liked football}. How many of the students liked at least one of the two sports? n(BnF)2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C), were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had A and C, 6 had B and C, 4 had all three options. Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none of the options.