The number of latex gloves used per week by the sampled workers is summarized as follows: x = 19.3 and s = 11.9. Let p represent the mean number of latex gloves used per week by all hospital employees. Consider testing H0: µ = 20 against H0; µ < 20.
a. Give the rejection region for the test at a significance level of α = .01.
b. Calculate the value of the test statistic.
c. Use the results, parts a and b, to make the appropriate conclusion.
For Information: Refer to the Current Allergy & Clinical Immunology (Mar. 2004) study of n = 46 hospital employees who were diagnosed with a latex allergy from exposure to the powder on latex gloves, Exercise 6.112 (p. 343).