5. In a sample of 500 children, 200 came from higher income group, and the rest from iower income group. The number of delinquent children in these groups respectively was 25 and 100. Calculate the coefficient of association between delinquency and income groups.
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- 17. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.4% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the probability that at least two of the freshmen reply "yes"? (Round your answer to four decimal places.)26. A survey conducted by the Bureau of Labor Statistics found that 67% of high school graduating class of 2007 went on to college the following year, while 44% of the class was working. Furthermore, 92% were either in college or working, or both. a. What percentage went on to college and work at the same time? b. What percentage went on to college but not work? c. What percentage were neither in college nor work?A recent health survey 500 single young men yielded the following information: 385 were a member of a sports club, 155 were vegetarian, and 30 declined to answer the survey’s questions. What percent of the men were both members of a sports club and vegetarian? Draw a Venn diagram to illustrate the result of the survey.
- 43. You have been hired by the Department of Health and Human Services to analyze the qualifications of social workers in your state. Your boss thinks that social workers in one part of the state are underqualified to serve the needs of the community where they work. You know from state data that the average social worker statewide has 10.2 years of experience. You then conducted a study by gathering a random sample of social workers from the region of concern. Your sample consisted of 203 randomly selected social workers, who had an average of 8.7 years of experience, with a standard deviation of 0.52 years. Based on your data, can you conclude that social workers from the region of concern have significantly less experience than workers statewide?9. There are about 8 million people in the City of New York. A survey organization took a simple random sample of 2,500 persons and found that the average household income in the sample was $59,210 and the SD was $26,120. The organization estimates the average income in the entire city to be around $59,210, they put s give-or-take number of $522.40 on this estimate. Say whether each of the following statements is true or false, and explain. (a) An approximate 99.7%-confidence interval for the average household income in the city runs from $57.642.80 to $60,777.20 (b) If a statistician takes a simple random sample of 2,500 persons out of the 8 million people in the city, and goes 3 SEs either way from the average household income of the the 2,500 people in the sample, there is about a 99.7% chance that his interval will cover the average household income in the city. (c) About 99.7% of the people in the sample had incomes in the range $59, 210+ $78,360. (d) It is estimated that 99.7% of…"Bluth's Original Frozen Banana Stand" is a frozen banana stand founded in 1953 by George Bluth. They offer multiple types of chocolate that you can have your frozen banana dipped in, and they also offer multiple different toppings for your frozen banana. One day when stand employee Michael was working, he wondered whether or not there was a relationship between what customers had their bananas dipped in (milk chocolate, white chocolate, or dark chocolate) and their choice of topping (plain, walnuts, or sprinkles). He recorded the choices of each for 90 different customers, and the resulting data can be seen in the table below. Which cell has the highest Chi Square contribution? Chocolate milk milk milk white white white dark dark dark walnuts, milk Osprinkles, white walnuts, dark O plain, dark Topping plain walnuts sprinkles plain walnuts sprinkles plain walnuts sprinkles Freq. 15 4 11 7 13 10 14 10
- 2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each. The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”. Here is what each person did to collect their sample: Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her. She surveyed 10 people each time to get her 30. Jennifer: She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out. When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there. Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample. Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.…I need help on these questions. The table is attached. Use Table B, starting at line 119, to choose the first 5 drivers in the sample. Drag the token representing the label of the driver selected to the appropriate column. (b) One question asked was, “Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersections?” Of the 880 respondents, 171 admitted that at least one light had been red. A practical problem with this survey is that people may not give truthful answers. What is the likely direction of the bias: do you think more or fewer than 171 of the 880 respondents really ran a red light? A) Fewer than 171 of the 880 respondents really ran a red light. B) More than 171 of the 880 respondents really ran a red light. Why would there be such a bias? A) The test suffers from sample bias. B) People may be concerned that they will get in trouble if they admit to running red lights. C) Those…
- According to the National Center for Education Statistics, 43% of the college students work full time. A survey of 900 randomly selected college students is to be conducted. For such groups of 900, would it be unusual to get 735 college students who work fulltime?. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?It is known that 9 out of 10 people are right handed. Would 35 right handed people out of group of 93 be considered significantly low, significantly high, or neither? Show your work below.