In the efforts to reduce road accident in Tanzania, the traffic police have launched a new program, in which drivers who are found with traffic offence three times are given the option of whether to attend a special training program or to pay a fine 200,000 Tanzanian shillings. Suppose that 20% of all drivers in Dar es Salaam were found with traffic offences three times within the past year. Assume that 80% of those found with three traffic offences attended the training program so that they would not have to pay the fine. If a driver from Dar es Salaam is randomly selected, what is the probability that he or she found with three traffic offence and attend the training program?
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- According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.Suppose because of facility limitations, a large privately owned nursing home has been turning away large numbers of patients requesting admission. Because the nursing home receives some financial assistance from public sources, they are prohibited from making the decision concerning admission on the basis of whether payment is from Medicaid or private funds. As part of a compliance study, suppose that researchers collect the following data over a two year period. Of the 88 Medicaid patients applying for admission, 24 are admitted while 64 are not. Of the 110 privately funded patients applying for admission, 62 are admitted while 48 are not. Are admission status and funding independent? Admitted (A) Not Admitted Medicaid (M) 24 64 Privately Funded 62 48 Group of answer choices No, because P(M | A) is not equal to P(M No, because P(M | A) = P(M) Yes, because P(M | A) = P(M Yes, because P(M | A) is not equal to P(M)According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. Test the researcher's assertion using the critical value approach. Use α = 0.05 (Please include all the 7 steps in hypothesis testing) Steps in hypothesis testing p-value Approach Develop the null and alternative hypothesis Specify the level of significance, α Choose the test statistic (z or t) Calculate the test statistic Use the value of the…
- Do well-rounded people get fewer colds? A study on the Chronicle of Higher Education was conducted by scientist at Carnegie Mellon University, the University of Pittsburgh and the University of Virginia. They found that people who have only a few social outlets get more colds than those who are involved in a variety of social activities. Suppose that of the 276 healthy men and women tested, n1=96 had only a few social outlets and n2=105 were busy with six or more activities. When these people were exposed to a cold virus, the following results were observed: Construct a 99% confidence interval for the difference in the two population proportions.According to Nielsen Media Research, of all the U. S. Households that owned at least one television set, 83% had two or more sets. A local cable Company canvassing the town to promote a new cable service found that of the 300 randomly selected households visited, 240 had two or more television sets. At , is there sufficient evidence to conclude that the proportion is less than the one in the report?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, 344 students are selected randomly from a list of all students enrolled at the college. Of these, 132 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 = ?
- The quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 473 parts passed the test, 20 parts failed the test but were repairable, and 7 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or table)a. Choose the appropriate alternative hypothesis for the test.The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 140 users of the current system, the University finds that 75 say they like the current system. In another sample of 85 experimental users of the “new” system, the University finds that 72 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the null and alternative hypothesis?The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 139 users of the current system, the University finds that 66 say they like the current system. In another sample of 92 experimental users of the “new” system, the University finds that 73 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the test statistic? (please round your answer to 2 decimal places)
- AMS communicates with customers who subscribe to cable television services through a special secured email system that sends messages about service changes, new features, and billing information to in-home digital set-top boxes for later display. To enhance customer service, the operations department established the business objective of reducing the amount of time to fully update each subscriber’s set of messages. The department selected two candidate messaging systems and conducted an experiment in which 30 andomly chosen cable subscribers were assigned one of the two systems (15 assigned to each system). Update times were measured, and the results are organized in Table AMS10.1. Email Interface1 4.13 3.75 3.93 3.74 3.36 3.85 3.26 3.73 4.06 3.33 3.96 3.57 3.13 3.68 3.63 Email Interface 2 3.71 3.89 4.22 4.57 4.24 3.90 4.09 4.05 4.07 3.80 4.36 4.38 3.49 3.57 4.74 1. Analyze the data in Table AMS10.1 and do a statistical test with hypothesis. Kindly discuss the reason you selected a…A sociologist sampled 200 people who work in computer-related jobs, and found that 42 of them have changed jobs in the past six months. Can you conclude that more than 15% of computer-related workers have changed jobs in the past six months?4. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.