A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due torecent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is lessthan the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them toreport their mean annual income. The data obtained were as follows.Annual income in dollars27060 , 42320 , 36445 , 37895, 44564 , 35325 , 30313 , 28698, 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051 ,37026 , 40150 , 42753 , 27820, 39471Utah29769 , 48859 , 32480 , 36288,45102 , 46219 ,51098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200,38731 , 41370 , 28059 , 33753 , 35271OregonSend data to calc... vSend data to ExcelThe population standard deviation for the annual incomes of childcare workers in Utah and in Oregon are estimated as 6400and 6500 , respectively. It is also known that both populations are approximately normally distributed. At the 0.10 level ofsignificance, is there sufficient evidence to support the claim that the mean annual income, µ,, of childcare workers in Utahis less than the mean annual income, µ,, of childcare workers in Oregon? Perform a one-tailed test. Then complete the partsbelow.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.Ho : 0H1: 0(b) Determine the type of test statistic to use.(Choose one) ▼D=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

x y 27060 29769 42320 48859 36445 32480 37895 36288 44564 45102 35325 46219 30313…

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20 childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 27060, 42320, 36445 , 37895 , 44564 , 35325 , 30313 , 28698 , 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051, 37026, 40150, 42753, 27820, 39471 29769 , 48859 , 32480 , 36288 , 45102 , 46219 , $1098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200 , Utah Oregon 38731, 41370, 28059 , 33753 , 35271 Send data to calc. • Send data to Excel The population standard deviation for the annual incomes of childcare workers in Utah and in Oregon are estimated as 6400 and 6500, respectively. It is also known that both populations are approximately normally distributed. At the 0.10 level of significance, is there sufficient evidence to support the claim that the mean annual income, , of childcare workers in Utah is less than the mean annual income, g, of childcare workers in Oregon? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis i1. ", :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon? Yes No