A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.14, and there is good reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.87, and computes the standard deviation of the sample to be $1.10. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis A, that should be used for the test? X Ho : 0 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 $8.14. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) when, in fact, u is (Choose one)