A worker wants to compare the interest rate for 48-month fixed-rate auto loans and 48- month variable-rate auto loans. They select 2 independent random samples of 48-month auto loans and observes the following loan rates: Fixed rate (%)Variable rate (%) 10.29 9.75 9.50 9.99 9.75 9.99 11.40 10.00 9.59 8.75 8.99 8.50 9.00 Do all calculations 'manually', i.e., with a hand calculator without using R, Excel or any other software, showing the relevant formulas and the major steps. Estimate and interpret the ratio of the population variances of the interest rates for 48-month fixed-rate and variable-rate auto loans with 90% confidence.
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- Even before the “Ownership Society” programs of Presidents Clinton and Bush, the federal government was heavily involved in the housing market, primarily in the form of tax deductions for mortgage interest payments. In a study just prior to the foreclosure crisis starting in 2008, the Urban Institute stated about 80% of the estimated $200 billion of federal housing subsidies consisted of tax breaks (mainly deductions for mortgage interest payments). Samples indicated that federal housing benefits average $8,268 for those with incomes between $200,000 and $500,000 and only $365 for those with incomes of $40,000 to $50,000. The respective standard deviations were $2,100 and $150. They were obtained from sample sizes of 150. To determine the appropriate hypothesis test concerning the average federal housing benefits of the two income groups, it is necessary to determine if the population variances are equal. Conduct a test of hypothesis to this effect using a significance level of…Suppose that PTPTN would like to investigate if the repayment score and income level of an individual are independent of one another. PTPTN selected a random sample of 164 employed adults and asked them to report their repayment score and their income range. The repayment score is measured based on the overdue of student loan repayment in months and the following contingency table presents these results: a. Set up the competing hypotheses to determine if the repayment score and income level are dependent. b. What is the degree of freedom for the test?c. Calculate the value of the test statistic (?2). d. Compute the p-value. e. Does the evidence suggest the repayment score and income level are dependent at the 1% significance level?In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Assuming α = 0.10, does the evidence support the policymakers’ claim?
- In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the correct competing hypotheses that will test the policymakers’ claim? Multiple Choice H0: p1 – p2 ≥ 0,…In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the appropriate p-value to verify the claim?In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the appropriate test statistic value to analyze the claim at the 10% significance level? Multiple Choice t243…
- In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the correct competing hypotheses that will test the policymakers' claim?In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the appropriate test statistic value to analyze the claim at the 10% significance level?In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the appropriate test statistic value to analyze the claim at the 10% significance level? A)t243= −0.549 B)t243=…
- A school district started using a new criteria for selecting which students entered their "accelerated" math track, starting in 6th grade. The study found that under the new criteria about 75% of the students in the district were eligible for accelerated math in 6th grade, but that from one year to the next only about 2/3 of the students stayed in the accelerated track. a) Assuming that everyone who is eligible enrolls the first year, make a TABLE that shows the percent of the students in the district that would be expected to be enrolled in the accelerated track each year from 6th grade until 10th grade. Please show the work you used to fill in your table. b) Considering that from one year to the next about 2/3 of the students stay in the accelerated track, is there a grade level in which you'd expect about 1/10 as many students in the accelerated track as there were in 6th grade? Does the number of students in the accelerated track in 6th grade affect your answer? Please show your…According to a Time Magazine/ABT SRBI poll conducted by telephone during October 9-10, 2011, 73% of adults age 18 years and older said that they are in favor of raising taxes on those with annual incomes of $1 million or more to help cut the federal deficit (Time, October 24, 2011). Assume that this percentage is true for the current population of all American adults age 18 years and older. Let p be the proportion of American adults age 18 years and older in a random sample of 749 who will hold the above opinion. Find the mean and standard deviation of the sampling distribution of and describe its shape. Round your answer for the standard deviation to four decimal places.a) Genenesis Dispensary is contemplating of opening a new branch in Mwanza. If the medical for medical service is favourable, Genesis could realize a net profit of Tsh.100 million. On the other hand, if the market turn out to be unfavourable, it can end up losing Tsh. 40 million. Of course, Genesis may opt not to persue this option of expanding its operations. In the absence of data from which to base its decision, te best guess for Gensis is equally likely that the dispensary will either be successful or unsuccessful Required: i) Use the decison tree approach, what decison should Genesis Dispensary take b) Market research firm named, Easy Market Access approach Genesis with an offer to undertake a study of Mwanza medical service market at a fee of Tsh. 5 million. Easy Market Access claims that their experience enables them to use Bayes’ Theoremn to make the following statements about different state of the market: ▪ Provide that the study is favourable, the probability of favourable…