A union of restaurant and foodservice workers would like to estimate the mean hourly wage, H, 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 different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.85, 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? X H :D 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 ? (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.25. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) V the hypothesis that u is (Choose one) (Choose one) |when, in fact, u is (Choose one)