A nadonwide job recruiting hmm wants to compare the annual Incomes for childcass workers in Arbore and Nevada. Due to recent trends in the chedcare industry, the firm suspects that the mean annual Income of childcare workers in Arizona is less than the mean annual income of childcare voters in Nevada. To see If this Is true, the him selected a random sample of ] childcare workers from Arizona and an independent random sample of 10 childcare workers from Nevada and asked them to report their meen annual Income. The data obtained were as follows. Annual Income In dollars Arizona 3294- 31939 30637 3446537806 43949 45563 43556 35857 36152 Nevada 43240 52525 37036 44211 35410 50782 56-455 37648 3594235783 Send data to calculator Send doin to Excel The population standard deviation for the annual Incomes of childcare workers in Arizona and In Nevada are estimated as GSUJ and G3UU respectively. it Is also known that both populations are approximately hammally distributed. At the U.US level of significance, Is there sufficient evidence to support the claim that the mean annual Income, II, of childcare workers in Arizona is less then the mean annual Income, Ily , of childcare workers In Nevada? Perform a one telled test Then complete the parts below. sorry your Intermediate computations to at least three decimalplaces. (If necessary consult a bit of formulas.) (9) State the pull hypothesis Ho and the alternative hypothesis H, H. : D H : [bj Determine the type of Left statintig to use. (Choose one) (c) Find the value of the test statistic. { Round to three or more decimal places.) di Find the pavalue. (Round to three or more decimal places.) (e) can we support the claim that the mean annual income ar childcare workers In Arizona is less than the mean annual income of childcare workers in Nevada