(a) |
State the null hypothesis
and the alternative hypothesis
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(b) |
Determine the type of test statistic to use. |
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▼(Choose one) |
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(c) |
Find the value of the test statistic. (Round to three or more decimal places.) |
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(d) |
Find thep-value. (Round to three or more decimal places.) |
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(e) |
Can we support the claim that the mean annual income of childcare workers in Arizona is less than the mean annual income of childcare workers in Nevada? |
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Extracted text: A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Arizona and Nevada. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Arizona is less than the mean annual income of childcare workers in Nevada. To see if this is true, the firm selected a random sample of 10 childcare workers from Arizona and an independent random sample of 10 childcare workers from Nevada and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Arizona 35597, 44349, 30210, 47473, 36689, 41493, 30410, 29736, 31880, 39582 Nevada 32082, 46198, 42198, 31466, 44105, 37025, 40391, 37193, 54640, 38686 Send data to calculator Send data to Excel The population standard deviation for the annual incomes of childcare workers in Arizona and in Nevada are estimated as 6300 and 6500, respectively. It is also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean annual income, u,, of childcare workers in Arizona is less than the mean annual income, u, of childcare workers in Nevada? 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.)