) In a study, hospital employees who were diagnosed with a latex allergy from exposure to the powder on latex gloves. The number of latex gloves used per week by the sampled workers is summarized as follows: and . Let represent the mean number of latex gloves used per week by all hospital employees. Consider testing against . a. In the words of the problem, define a Type I error and a Type II error. b. Calculate the value of the test statistic. Make the appropriate conclusion using the test statistic and the rejection region (or critical value). c. Find the -value for the test and make the appropriate conclusion using the -value. n = 46 x = 19.3 s = 11.9 H0 : = 20 Ha : < 20 p p