The tаble belоw shоws dаtа frоm a study comparing what people said their annual income was (in thousands of dollars), as opposed to what they reported on their tax return. Assuming alpha=0.10, use this data to test the claim that people say they have a greater annual income than what they actually report on their taxes. Said 140 123 100 84 75 71 for Tax 139 118 99 84 72 70 What is the mean of the difference in incomes (d-bar)? [dbar] (round to 1 decimal)What is the standard deviation of the difference (s-d)? [sd] (round to 2 decimals)What is the left critical value? [cvL] (round to 2 decimals - enter "na" if there is none)What is the right critical value? [cvR] (round to 2 decimals - enter "na" if there is none)What is the value of the test statistic? [ts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter "reject H0" or "fail to reject H0")Is the claim supported? [support] (enter "yes" or "no")
Vаriоus studies аre cоnducted tо compаre the rates of addiction to prescription drugs across various populations. One such study compares the proportion of Arizona vs Utah residents who are addicted to prescription drugs. Data collected from 1600 randomly selected Arizona residents indicates that 169 are addicted to prescription drugs. Data is also collected from 1300 randomly selected Utah residents, and shows that 98 are addicted to prescription drugs. . Use this data, assuming alpha=0.02, to answer the following questions and test the claim that the proportion of Arizona residents addicted to prescription drugs is the same as that of Utah residents.The value of p-bar (pooled p) = [pbar] (round to 3 decimals)The left critical value = [left] (round to 2 decimals - if there is no left value, enter "na")The right critical value = [right] (round to 2 decimals - if there is no right value, enter "na")The test statistic = [ts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter "reject H0" or "fail to reject H0")
A lаrge buyer оf trаnspоrtаtiоn services wants to compare the standard deviation in delivery lead times between standard UPS and Fedex shipments.100 UPS shipments are randomly selected, and an analysis indicates a standard deviation of 4.2 days.150 Fedex shipments are randomly selected, and an analysis indicates a standard deviation of 3.3 days.Using this information, answer the following questions and test the claim that the standard deviation in delivery lead times for UPS is greater than that of Fedex, assuming alpha=0.01.(Hint: make sure you designate the sample with the larger variance as sample1 and the other as sample2 in your calculations. We are also always only interested in the right F critical value)What is the value of the F critical value? [Fcv] (round to 2 decimals)What is the value of the F test statistic? [Fts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter "reject H0" or "fail to reject H0")Is the claim supported? [support] (enter "yes" or "no")
In а cоmpаrisоn оf customer sаtisfaction, a researcher collects data showing that for Company B, among 550 randomly selected customers 92.0% were satisfied. For Company A, among 450 randomly selected customers 94.0% were satisfied. Assuming alpha=0.20, answer the following questions as you test the claim that Company B has at least as high a proportion of satisfied customers as does Company A.The value of p-bar (pooled p) = [pbar] (round to 3 decimals)The left critical value = [left] (round to 2 decimals - if there is no left value, enter "na")The right critical value = [right] (round to 2 decimals - if there is no right value, enter "na")The test statistic = [ts] (round to 2 decimals)Is the claim supported? [support] (enter "yes" or "no")