Solution Found!
Solved: Latex allergy in health care workers. Refer to the
Chapter 7, Problem 118SE(choose chapter or problem)
Problem 118SE
Latex allergy in health care workers. 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). The number of latex gloves used per week by the sampled workers is summarized as follows: = 19.3 and s = 11.9. Let represent the mean number of latex gloves used per week by all hospital employees. Consider testing H0 : = 20 against Ha: < 20.
a. Give the rejection region for the test at a significance level of = .01.
b. Calculate the value of the test statistic.
c. Use the results, parts a and b, to make the appropriate conclusion.
Questions & Answers
QUESTION:
Problem 118SE
Latex allergy in health care workers. 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). The number of latex gloves used per week by the sampled workers is summarized as follows: = 19.3 and s = 11.9. Let represent the mean number of latex gloves used per week by all hospital employees. Consider testing H0 : = 20 against Ha: < 20.
a. Give the rejection region for the test at a significance level of = .01.
b. Calculate the value of the test statistic.
c. Use the results, parts a and b, to make the appropriate conclusion.
ANSWER:
Solution :
Step 1 of 3:
Given the mean and standard deviation s=11.9.
The mean number of latex gloves used per week by all hospital employees is .
Then the null and alternative hypothesis are
againest
Our goal is :
a). We need to give the rejection region for the test at .
b). We need to calculate the value of the test statistic.
c). We need to use the results, from part (a) and part (b), to make the appropriate conclusion.