Question Answered step-by-step The union decides to do a statistical test to see if the value has…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$7.89, and computes the standard deviation of the sample to be $1.15. Based on this information, complete the parts below.(a)What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test?H0:H1:(b)Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? ?(Choose one) Type I or Type II (c)Suppose the true mean hourly wage for foodservice workers in the U.S. this year is$8.16. Fill in the blanks to describe a Type I error.A Type I error would be ?(Choose one)(Rejecting or Failing to reject) the hypothesis that µ is ?(Choose one)(less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to) ?(Choose one) (1.15, 8.16, or 7.89) when, in fact, µ is ?(Choose one). (equal to 1.15, equal to 8.16, less than 1.15, less than 7.89, less than 8.16, or greater than 8.16) Math MAT 2058
