A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcareindustry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income ofchildcare workers in Illinois. To see if this is true, the firm selected a random sample of 15 childcare workers from New York and an independent random sampleof 15 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows.Annual income in dollarsNew York 44965, 34979. 54554, 45692. 52228, 54340, 56915, 42473, 46109. 37384, 50108, 47627, 42682, 52168, 61923Illinois 34604. 50975, 39437, 47344, 40911, 48065, 31985, 33064, 50130. 49985, 47805, 51873, 42676. 47858, 40965|Send data to calculatorSend data to ExcelThe population standard deviations for the annual incomes of childcare workers in New York and in Illinois are estimated as 6600 and 6200, respectively. It isalso known that both populations are approximately normally distributed. At the 0.10 level of significance, is there sufficient evidence to support the claim thatthe mean annual income, 4, of childcare workers in New York is greater than the mean annual income, µ2, of childcare workers in Illinois? Perform a one-tailedtest. 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 H,.H, :0H :0(b) Determine the type of test statistic to use.(Choose one)O=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcareindustry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income ofchildcare workers in Illinois. To see if this is true, the firm selected a random sample of 15 childcare workers from New York and an independent random sampleof 15 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows.Annual income in dollarsNew York 44965. 34979. 54554, 45692. 52228, 54340, 56915, 42473, 46109. 37384. 50108. 47627. 42682, 52168, 61923Illinois 34604, 50975, 39437, 47344, 40911, 48065, 31985, 33064, 50130, 49985, 47805, 51873, 42676, 47858, 40965Send data to calculatorSend data to ExcelThe population standard deviations for the annual incomes of childcare workers in New York and in Illinois are estimated as 6600 and 6200, respectively. It isalso known that both populations are approximately normally distributed. At the 0.10 levelsignificance, is there sufficient evidence to support the claim thatthe mean annual income, H1, of childcare workers in New York is greater than the mean annual income, H,, of childcare workers in Illinois? Perform a one-tailedtest. 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 H.H, :0H :0믐(b) Determine the type of test statistic to use.(Choose one)D=0OSOO20(c) Fittest statistic. (Round to three or more decimal places.)O

To test the mean difference between two independent samples, we can use either t - test (or) z test.…

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. 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 New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of 15 childcare workers from New York and an independent random sample of 15 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 44965. 34979. 54554, 45692, 52228, 54340, 56915, 42473, 46109. 37384, 50108, 47627, 42682, 52168, 61923 Illinois 34604. 50975, 39437, 47344, 40911, 48065, 31985, 33064, 50130, 49985, 47805, 51873, 42676, 47858, 40965| Send data to calculator Send data to Excel The population standard deviations for the annual incomes of childcare workers in New York and in Illinois are estimated as 6600 and 6200, 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, H1, of childcare workers in New York is greater than the mean annual income, lz, of childcare workers in Illinois? 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 H1. H, :0 H, :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.) O=0 OSO O20 (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 New York is greater than the mean annual income of childcare workers in Illinois? O Yes ONo olo