QUESTION TWO The Financial Intelligence Centre (FIC) of Zambia randomly selected 100 corporate accounts and examined them for fraud. The following results were obtained: Number of frauds 1 3 Number of accounts 36 40 19 Test at 5% significance level whether the distribution of frauds follows a Poison distribution.
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- 2. According to the Center for Disease Control (CDC), 69% of adults 20 years of age and over in the U.S. are overweight. Recently, Jackson County was ranked 48th (out of 83 counties in Michigan) for a healthy population, and the County Commission wants to know if the county is significantly different from the national average at a 0.10 level of significance. They take a random sample of 280 adult residents of the county who are 20 years of age or older, and find that 72.5% are classified as overweight. Test the researcher's claim showing all steps, work and graphs.The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. Males 13 20 14 16 13 26 21 23 Females 22 20 26 25 28 24 16 19 Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.03. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')Why is a cohort design more efficient than a case-control design to study a rare exposure? (Select one best answer) Group of answer choices a. Subjects are selected based on their exposure status. b. Subjects are selected based on their disease status. c. Subjects are selected based on their exposure and disease status. d. Subjects are selected based on their random allocation to treatment or placebo. e. None of these.
- When an audit must be conducted that involves a tedious examination of a large inventory, the audit may be very costly and time consuming if each item in the inventory must be examined. In such situations, the auditor frequently obtains a random sample of items from the complete inventory and uses the results of an audit of the sampled items to check the validity of the company's financial statement. A large company’s financial statement claims an inventory that averages $600 per item. The following data are the auditor’s assessment of a random sample of 75 items from the company’s inventory. The values resulting from the audit are rounded to the nearest dollar. Estimate the mean value of an item in the inventory using a 95% confidence interval. Is there substantial evidence (a 5 .01) that the mean value of an item in the inventory is less than $600? What is the target population for the above inferences? Would normal distribution–based procedures be appropriate for answering the…1. Data Set lists data from 100 M&Ms, and 27% of them are blue. The Mars candy company claims that the percentage of blue M&Ms is equal to 24%. Use a 0.05 significance level to test that claim.As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Prepare a managerial report that analyzes the data. Consider the complete data set collected over a one-year period. Safety Percent Under 21 Fatal Accidents per 1000 12 2.942 11 0.688 7 0.865 11 1.632 10 2.071 16 2.607 17 3.81 7 0.348 12 1.122 7 0.625 8 1.008 15 2.781 11 1.385 8 1.413 9 0.019 8 0.318 10 1.829 11 2.226 13 2.835 13 2.332 10 1.274 16 4.08 7 2.17 15 3.603 14 2.603 8 0.815 7 0.8 13 2.87 7 1.247 14 3.204 9 0.994 9 0.473 13 1.423 17 3.594 9 1.906 13 1.623 15 2.923 11 1.893 14 2.794 12 2.614 8 0.906 16 3.236 Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.) MeanStandard deviation Find…
- b) Distribution of the Sample Proportion To assess attitudes towards issues that affect the residents of a village, the village randomly chose 800 families to participate in a survey of life attitudes. The village received 628 completed surveys. What is the sample proportion of completed surveys?The National Highway traffic Safety Administration requires each U.S. state to carry out an observational study to assess the level of seat belt use in the state. One report summarized data from a study done in a certain state. The proportions in the accompanying table are based on observations of over 25,000 drivers and passengers. Male Female Uses Seatbelt Does Not Use Seat Belt 0.42 0.455 0.08 0.045 Assume that these proportions are representative of adults in this state and that an adult from this state is selected at random. (a) What is the probability that the selected adult does not use a seat belt given that the selected individual is female? (b) What is the probability that the selected individual is female given that the selected individual does not use a seat belt? (c) Are the probabilities from parts (a) and (b) equal? Write a couple of sentences explaining why or why not. They --Select--- ✓ equal. Part (a) is the proportion of [---Select--- ---Select--- and part (b) is the…In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and employee turnover rate. Moreover, employee surveys are conducted to assess aspects of the organization's culture, such as trust and openness to change. In an attempt to determine what affects turnover rate, a sample of 33 companies was randomly selected, and data were collected on the average annual bonus and turnover rate (%) for 2008. In addition, a questionnaire was administered to the employees of each company to arrive at a trust index (measured on a scale of 0-100). Below are the multiple regression results. Predictor Coef SE Coef T P R-square Constant 12.1005 0.7826 15.46 0.000 79.6% Trust Index -0.07149 0.01966 -3.64 0.001 Average Bonus -0.0007216 0.0001481 -4,87 0.000 The correct null hypotheses for testing the regression coefficient of Trust Index (TI) is βTI ≠ 0…