According to a report, 61.3% of murders are committed with a firearm. (a) If 400 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 254 murders by firearm in a random sample of 400 murders? Why?
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- A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line belowMicrosoft Word -... 56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 170 of the 278 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer ✓ Ho: ? H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly larger than 56% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who…(A5) In a certain study of 900 men from Nsawam, it was found that 25 are smokers. Use (a) Identify the population in this study. (b) What is the sample size? (c) What percentage of the sampled population are smokers? (d) State the gender of interest in the study. Men (e) What question is the researcher most likely to ask in this study? d 2 doctors An executive
- 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…A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 92 people were asked the voter registration question face to face. Of those sampled, seventy-nine respondents gave accurate answers (as verified by city records). Another random sample of 82 people were asked the same question during a telephone interview. Of those sampled, seventy-five respondents gave accurate answers. Assume the samples are representative of the general population.In a survey, each participant indicated how much they agreed with the statement, "Hard work is the way to get what you want in life." Which of the following would you expect to have zero correlation, or close to zero correlation, with the response to the above statement? A) Agreement with the statement, "Happiness mostly depends on luck." B) Conscientiousness score on a personality inventory test. C) High school GPA. D) A random number between 0 and 10, chosen by the participant.
- According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge-drinking" behavior: having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college who binge drink is actually lower than the national proportion. In a commissioned study, 346 students are selected randomly from a list of all students enrolled at the college. Of these, 135 admit to having engaged in binge drinking.The college president is more interested in testing her belief that the proportion of students at her college who engage in binge drinking is lower than the national proportion of 0.41. What is the P-value? (Round your answer to four decimal places.) P-value =A 2016 episode of the NPR program "This American Life" featured a radio show host from Tigerville South Carolina and focused on the divisions among evangelical Christians regarding their support of the then-presidential candidate Donald Trump. We know that these divisions still exist, and suppose you want to survey the people of Tigerville (population: 1.312) to see how many of them support Donald Trump today, and you want to use a simple random sample. (a) An SRS of 150 people is taken and it turns out that 55 support Trump. Estimate the proportion of people in Tigerville that support Trump and give a 95% confidence interval for the true proportion of Trump supporters using your estimate. (b) If 100 simple random samples are taken independently, and 100 such 95% confidence intervals are constructed, what is the probability that all 100 of these intervals will cover the true proportion? Does this number make sense to you? Explain.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…
- 46% of all statistics classes require an advanced calculator and 38% require the use of a computer that has statistical software. Of the classes that require an advanced calculator, 18% also require the use of a computer. If a statistics course is selected at random find A. P(Advanced Calculator) = [ Select ] ["0.57", "0.38", "0.18", "0.46"] B. P(Statistical Software) = [ Select ] ["0.38", "0.57", "0.46", "0.18"] C. P(Require an Advanced Calculator and Statistical Software) = [ Select ] ["0.1259", "0.1748", "0.0828", "0.8335"] D. P(Require an Advanced Calculator GIVEN Require Statistical Software) = [ Select ] ["0.3515", "0.18", "0.2184", "0.9716"]A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 89 people were asked the voter registration question face to face. Of those sampled, seventy-five respondents gave accurate answers (as verified by city records). Another random sample of 88 people were asked the same question during a telephone interview. Of those sampled, seventy-two respondents gave accurate answers. Assume the samples are representative of the general population. (a) Categorize the problem below according to parameter being estimated, proportion p, mean ?, difference of means ?1 – ?2, or difference of proportions p1 – p2. Then solve the problem. p p1 – p2 ? ?1 – ?2 (b) Let p1 be the population proportion of all people who answer the voter registration question accurately during a face-to-face interview. Let p2 be the…R3.25. Timing In August 2011, a Sodahead.com voluntary response poll asked site visitors, "Obama is on Vacation Again: Does He Have the Worst Timing Ever?" 56% of the 629 votes were for "Yes." During the week of the poll, a 5.8 earthquake struck near Washington, D.C., and Hurricane Irene made its way up the East Coast. What types of bias may be present in the results of the poll?