A union of restaurant and foodservice workers would like to estimate the mean hourly wage, J, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.25, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the m of the sample to be $8.52, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H, that should be used for the test? H X Ho : I H, : 0 020 0=0 0#0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) X 5 ? (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.57. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) the hypothesis that | is (Choose one) Choose one) when, in fact, J is (Choose one)