A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcare industry, the firm suspects that the...

(d)	Find thep-value. (Round to three or more decimal places.)
(e)	Can we support the claim that the mean annual income of childcare workers in Connecticut is greater than the mean annual income of childcare workers in California?
Yes No

Extracted text: A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income of childcare workers in California. To see if this is true, the firm selected a random sample of 15 childcare workers from Connecticut and an independent random sample of 15 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Connecticut 39417, 52742, 58027, 58694, 49302, 46122, 55098, 46627, 57971, 56906, 48625, 48571, 61686, 52726, 52153 California 51706, 44375, 55696, 42131, 39611, 45157, 53631, 39941, 56657, 46215, 50866, 40135, 39482, 41559, 49016 Send data to calculator Send data to Excel The population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean annual income, u, of childcare workers in Connecticut is greater than the mean annual income, l, of childcare workers in California? 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.)