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- Which of the following do you think could possibly be true statistically? A) A teacher brought 40 calculators to class, and 20% of them had dead batteries B) None of the other statements could be true C)The number of violent crimes in the city decreased by 112.46% last year D)Last year, 60 of the 80 residents in a neighborhood subscribed to the local newspaper, and this year, it is 40 residents who subscribe. This is a 50% decrease E) A company's annual profits increased by 110% over the last decade28) A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic status (Hispanic or non-Hispanic) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. Seat belts worn Seat belts not worn Hispanic 31 283 Non-Hispanic 148 330 Referring to these data, which of the following conclusions should be reached if the appropriate ni hypothesis is conducted using an alpha = .05 level? Tuoria enolzubaos griwollet Jo bidw ,20, of A) There is no relationship between whether someone is Hispanic and whether they wear a seat da srli to nabreg neowisd qilarrodslets al sist bel B) The use of seat belts and whether a person is Hispanic or not is statistically…6) A small business owner you follow on TikTok is SO EXCITED because last month, she was able to begin selling her product in a popular chain store around the nation. Her contract with the chain store says that at any time, there will be at least 20 of her products sitting out on the shelves. She wants to conduct a survey to see if that is true. She visits 5 of the local chain stores around her and records the number of products of hers that are on the shelves. She will then construct a 95% confidence interval to determine the mean number of products on the shelves for all of the stores. (a) Discuss whether this study meets the each of the conditions for constructing a confidence interval. If one of the conditions has not been met, what additional information would be required or what change in the study would you recommend? (b) If, instead of constructing a 95% confidence interval, the business owner constructed a 98% confidence interval, would the 98% interval be wider, narrower, or…
- 10. For adults, certain type of cancers can be treated with multiple health interventions. To gain information about all Maryland-based treatment centers a survey is sent to a randomly chosen group of 25 Maryland based treatment centers that asks about the recommended interventions for cancer patients based on medical records, insurance, and income. All of the randomly selected treatment centers completed the survey. The sample is: For adults, certain type of cancers can be treated with multiple health interventions. To gain information about all Maryland-based treatment centers a survey is sent to a randomly chosen group of 25 Maryland based treatment centers that asks about the recommended interventions for cancer patients based on medical records, insurance, and income. All of the randomly selected treatment centers completed the survey. The sample is: a. the 25 Maryland-based treatment centers b. the medical records, insurance, and income c. all Maryland-based treatment…6. To promote domestic consumption, Country A's government wants to determine the impact on household annual expenditures on consumption items if small stimulus checks were sent monthly over a one year period. To determine if these small stimulus checks would increase household expenditures on consumption items, it chose five households at random, determined their annual expenditure on consumption items for the year before and sent the stimulus checks for a year. The table below shows total amount of annual expenditure on consumption items by the households before and after receipt of the checks. Based on these observations, determine whether there would be a statistically significant difference in the mean annual expenditure on consumption items for the entire population of the Country A if this policy were adopted for the entire country. Use a level of significant of a = .01. Recipient 1 2 3 4 5 Before Receipt ($, in thousands) 63 38 70 65 62 After Receipt ($, in thousands) 65 42 68…16. 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. 71.6% 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 twelve 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 standard deviation (?)? (Round your answer to four decimal places.)? = ___________
- ) 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?3. Number of Responses 800 600 JE 400- 200- 0+ Not at all likely Very unlikely Unlikely Neutral A) mode = 3 B) median = 3 C) mean < median D) 2 < mean < 5 Likely Very likely Response Definitely 4. Liam is conducting a market research study to determine the effectiveness of advertisements on social networking sites. He surveyed a randomly selected group of 2,000 young adults on how likely they are to purchase from a company based on its advertisements on social networking sites. Respondents rated their likelihood to purchase on a scale from 1 to 7, with 1 being "Not at all likely" and 7 being "Definitely." The results are summarized in the bar graph above. Which of the following state- ments is NOT true based on the survey results?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. 69.5% 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. Let the random variable X= the number that reply "yes", X∼B(8,0.695). (a) Construct the probability distribution function (PDF).
- 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 17206) In a country with a population of hundreds of millions, where capital punishment is legal, 10000 individuals are charged and tried for murder every year, and those convicted of murder are put to death. Past records consistently indicate that out of those tried, 95% are truly guilty and 5% are truly innocent. Out of those who are truly guilty, 95% are convicted and 5% are wrongly set free, and out of those who are truly innocent, 5% are wrongly convicted, and 95% are set free. Determine the probability that a person who is tried is truly innocent, but wrongly convicted of murder.18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?