According to a report, 57.5% of murders are committed with a firearm. (a) If 200 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 136 murders by firearm in a random sample of 200 murders? Why? (a) We would expect to be committed with a firearm.
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A: Solution
Given :
n = 200
p = 0.575
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- According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test. A. Define the null and alternative hypotheses to test this claim. B. By hand, calculate the test statistic for this test. C. Use…Question: One large course has 900 students, broken down into section meetings with 30 students each. The section meetings are led by GSI’s. On the final, the class average is 64, and the SD is 20. However, in one section the average is only 55. The GSI argues that: “If you took 30 students at random from the class, there is a pretty good chance they would average below 55 on the final. That’s what happened to me, and my teaching was as good as the other GSI’s” Is this a good defense? Answer yes or no and justify your answer.You are interested in comparing sleep habits of elementary school children. Suppose you have agroup of eighth graders. You asked them in July to estimate about how many hours of sleep they get pernight, on average. You asked those same individuals the same question again in November, during theschool year. Which is the most appropriate test to use?
- An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 738 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicant's social media activity during background checks. For purposes of this exercise, suppose that the 738 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. (a) The sampling distribution of p describes the behavior of p when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p for samples of size 738 if the null hypothesis Ho: p = 0.25 is true. (Round your answers to three decimal places.) The sampling distribution of p is ---Select--- O; and has mean Hp and…1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?According to a report, 52.3% of murders are committed with a firearm. (a) If 100 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 56 murders by firearm in a random sample of 100 murders? Why? (a) We would expect to be committed with a firearm. (b) Choose the correct answer below. O A. No, because 56 is between u - 20 and u + 20. O B. Yes, because 56 is greater than + 20. C. No, because 56 is greater than u + 20. D. No, because 56 is less than u - 20. O E. Yes, because 56 is between u -2o and + 20.
- An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 735 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicant's social media activity during background checks. For purposes of this exercise, suppose that the 735 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. (a) The sampling distribution of p describes the behavior of p when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p for samples of size 735 if the null hypothesis H,: p = 0.25 is true. (Round your answers to three decimal places.) The sampling distribution of p is -Select-- and has mean u, | and…Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the…According to a report, 62.8% of murders are committed with a firearm. (a) If 100 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 73 murders by firearm in a random sample of 100 murders? Why? (a) We would expect to be committed with a firearm. (b) Choose the correct answer below. A. Yes, because 73 is greater than u + 20. B. No, because 73 is less than u - 20. C. Yes, because 73 is between u - 20 and u + 20. D. No, because 73 is between u - 20 and u + 20. E. No, because 73 is greater than u + 20.
- According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…Question content area top Part 1 A genetic experiment with peas resulted in one sample of offspring that consisted of 445 green peas and 166 yellow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?According to a report, 57.8% of murders are committed with a firearm. (a) If 300 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 182 murders by firearm in a random sample of 300 murders? Why?