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According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1232 a week in 2014. A recent sample of 403 American workers who have a bachelor's degree showed that they earn an average of $1242 per week. Suppose that the population standard deviation of such earnings is $144.
a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly earning of American workers who have a bachelor's degree is higher than $1232. Will you reject the null hypothesis at α=0.025?
Round your answer to four decimal places.
p-value =
b. Test the hypothesis of part a using the critical-value approach and α=0.025.
Round your answer for the observed value of z to three decimal places.
z =
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