A survey of employees at a company finds that 32 of the 88 employees who drive to work wereever late during the past year, and 18 of the 64 employees who took public transportation wereever late during the past year. At α = 0.10, is there a difference between the proportion ofemployees who drove who were ever late and the proportion of employees who took publictransportation who were ever late?Find the test value for the difference in the proportion of employees who were ever late for work inthe past year.Answer: Round your answer to two decimal places.What is your decision for this test?1. The test value is greater than the critical value of 1.960.2. The test value is less than the critical value of 1.645.3. The test value is greater than the critical value of 1.282.4. The test value is less than the critical value of 1.960.2. A company has observed that there is a linear relationship between indirect labor expense (ILE) ,in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 datapoints. What values for the intercept (a) and slope (b) do you obtain?Place your answers, rounded to 3 decimal places, in the blanks provided. Do not use any straypunctuation marks. For example, 34.567 would be a legitimate entry.intercept (a) =slope(b) =3. An investor wants to compare the risks associated with two different stocks. One way to measurethe risk of a given stock is to measure the variation in the stock’s daily price changes.In an effort to test the claim that the variance in the daily stock price changes for stock 1 isdifferent from the variance in the daily stock price changes for stock 2, the investor obtains arandom sample of 21 daily price changes for stock 1 and 21 daily price changes for stock 2.The summary statistics associated with these samples are: n 1 = 21, s1 = .848, n2 = 21, s2 = .529.If you follow Bluman's advice and place the larger variance in the numerator when computing thetest value, at the .05 level of significance, what is the critical value associated with this test ofhypothesis? Place your answer, rounded to 2 decimal places, in the blank. For example, 3.45would be a legitimate entry.