6°Fartly sunnyVA nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcareindustry, 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 ofchildcare workers in California. To see if this is true, the firm selected a random sample of 10 childcare workers from Connecticut and an independent randomsample of 10 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows.144HzAnnual income in dollarsConnecticut 55657, 43863, 56330, 48932, 55059, 49205, 61868, 47883, 48196, 41987California 43958, 47298, 46737, 45018, 54701, 39576, 54263, 36978, 49494, 48707Send data to calculator VThe population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. Itis also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claimthat the mean annual income, μ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, of childcare workers in California? Perform aone-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 Ho and the alternative hypothesis H₁.H:0H₁:0(b) Determine the type of test statistic to use.(Choose one)Send data to ExcelExplanationCheckO SearchIXI8e:O0=0 OSOacerSР The population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. Itis also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claimthat the mean annual income, μ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, of childcare workers in California? Perform aone-tailed test. Then complete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)76°FPartly sunnyFULLHD 144Hz(a) State the null hypothesis Ho and the alternative hypothesis H₁.H:0HoH₁ :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 workersin Connecticut is greater than the mean annual income of childcare workersin California?O Yes O NoExplanationCheckO SearchuН|xX8O0=0 OSOCS☐#0 0<0XKR3РTEspañol00?2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy CenterAa

Answered: Image /qna-images/answer/1862b1a5-ebf7-4e7c-bba7-30aa49a36d78.jpg

6°F artly sunny that the mean annual income, ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, 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.) 144Hz (a) State the null hypothesis H. and the alternative hypothesis H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. choose one) Explanation Check EN O Search μ |x 무 a S 2 00 0=0 OSO Р