A survey of TV viewing habits of 50 men and 50 women found the following information: Of the 50 men, 20 prefer watching basebal| and 30 prefer football. Of the 50 women, 25 prefer watching baseball and 25 prefer football. Construct a data table for this data and answer this question: Out of the entire survey, what is the probability of choosing a man? О 15 О 14 2/5 1/2
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- A simple random sample of heights of 6400 Englishmen has a mean of67.85 inches and SD 2.56 inches, while a simple random sample of heightsof 1600 Australians has a mean of 68.55 inches and SD of 2.52 inches. Dothe data indicate that Australians are, on the average, taller thanEnglishmen?A professor found out from a senior professor that engineering students in Harp University tend to do good in their Engineering Management subject, claiming that historically, the mean grade of engineering students in the said course is 1.50. Curious if this claim was true, the professor took a random sample of 9 students who took the engineering management subject. Before collecting data, he was undecided about his own claim because he knew of some students who did really good in the course but has also encountered others who did poorly. He found that their mean grade for the course is 1.35 with a standard deviation of 0.50. Use the Test of Significance Approach in testing the professor’s claim. a. Estimate population mean at 90% confidence interval. b. Between z and t, which is more appropriate to use given the data? Why? c. What are the chances that your estimate of population mean was wrong? Describe and explain a potential source of error to your estimate. d. Holding % of CI…A toll collector wonders if drivers are equally likely to choose each of the three lanes at his toll booth. He selects a random sample of 465 drivers that approach the booth when all three lanes are empty, so that the driver’s choice isn’t influenced by the cars already at the booth. The table below summarizes the data: Lane left center right Number of drivers 137 159 169 Do these data provide convincing evidence that drivers are equally likely to choose each of the three lanes at the toll booth?
- A group of students in Methods of Social Research wanted to study the relationship between GPA and participation in athletics among ENC traditional undergraduates. Other researchers have found that students involved in Division III athletics often have higher GPAs than the rest of the student body, so the group of students in Methods wanted to know whether this was true for ENC students. They were able to gather data on 160 ENC students (80 athletes and 80 non-athletes) and found that, among this group, the 80 athletes had slightly higher GPAs on average than the 80 students who were not athletes. In this study, who makes up the sample? Who makes up the population? Suppose they found in the sample data that the overall GPA for ENC athletes was 3.35 and for the ENC non-athletes was 3.21. Are these statistics or parameters?A young professor found out from a senior professor that psychology students in St. Alex University tend to do good in their Social Science subject, claiming that historically, the mean grade of psych students in the said course is 1.50. Curious if this claim was true, the young professor took a random sample of 9 students who took Social Science subject. Before collecting data, he was undecided about his own claim because he knew of some students who did really good in the course but has also encountered others who did poorly. He found that their mean grade for the course is 1.35 with a standard deviation of 0.50. Use the Test of Significance Approach in testing the young professor’s claim. a. Estimate μ at 90% confidence interval. b. Between z and t, which is more appropriate to use given the data? Why? c. What are the chances that your estimate of μ was wrong? Describe and explain a potential source of error to your estimate. d. Holding % of CI constant, what can you do to lower…A student researcher was surprised to learn that the 2017 NCAA Student-Athlete Substance Use Survey supported that college athletes make healthier decisions in many areas than their peers in the general student body. He collected data of his own, focusing exclusively on male student-athletes to see if such habits vary based on one’s sport. He asked 93 male student-athletes whether they had engaged in binge-drinking in the last month (> 5 drinks in a single sitting). A student researcher was surprised to learn that the 2017 NCAA Student-Athlete Substance Use Survey supported that college athletes make healthier decisions in many areas than their peers in the general student body. He collected data of his own, focusing exclusively on male student-athletes to see if such habits vary based on one’s sport. He asked 93 male student-athletes whether they had engaged in binge-drinking in the last month (> 5 drinks in a single sitting). Data are provided in the table below.…
- An American Automobile Association (AAA) study investigated the question of whether car owners or truck owners were more likely to change their own blown tire. The situation referred to in the study stated the following: “If you blew a tire on a trip, would you change the tire yourself?” A sample representative of the data used by AAA showed 663 of 818 car owners said that they would change the tire themselves while 541 of 733 truck owners said they would change the tire themselves. x n car owners 663 818 truck owner 541 733 The AAA research hypothesis was that truck owners would be more likely to change their tire themselves. Formulate the null and alternative hypotheses for this study. Let car owners be population What is the percentage of car owners who indicated that they would change their own tire?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.The Pew Research Center has reported results of many studies highlighting political topics and potential public policy. For example, when Gallup first surveyed public opinion about the legalization of marijuana in 1969, only 12% of the public favored legalization. A more recent survey from March 2016 showed 53% of the public favoring legalization of marijuana. To examine potential generational differences in the proportions who favor the legalization of marijuana, researchers randomly surveyed groups of Baby Boomers (those born between 1946 and 1964) and Millennials (those born from 1981 to 1997) asking the following question: "Do you support the legalization of marijuana for medical and recreational use in the United States?" The data were as follows. Yes No Total Baby Boomers (population 1) 312 293 605 Millennials (population 2) 349 286 635 (a) State the appropriate null and alternative hypotheses. H0: p1 ? < = > ≠ p2 Ha: p1 ? < = > ≠ p2 (b) Find…
- 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. 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…A sample of 250 high school students were asked, “If you had $1000 to contribute to one kind of charitableorganization, which type of organization would you choose? Here is a two-way table that displays data ongender and response to this question. Which of the following conclusions seems to be supported by the data?(a) Most of the females who chose a health organization would have chosen an environmental organizationas their second choice, had they been asked.(b) There is no association between gender and choice of organization.(c) The proportion of males who said they would contribute to an environmental organization is higher thanthe proportion of females who said they would contribute such an organization.(d) None of the students surveyed said they would contribute to religious organizations.(e) The marginal relative frequencies of organization are 140, 110.The manager of a fleet automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Car Brand 1 Brand 2 1 36,925 34,3182 45,300 42,2803 36,240 35,5004 32,100 31,9505 37,210 38,0156 48,360 47,8007 38,200 37,8108 33,500 33,215 Do the data suggest that the two brands of radial tires prove the same mean life? Use ? = 0.01.
