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Latex allergy in health care workers (cont’d). Refer to
Chapter 7, Problem 119SE(choose chapter or problem)
Latex allergy in health care workers (cont'd). Refer to Exercise 7.118. Let \(\sigma^2\) represent the variance in the number of latex gloves used per week by all hospital employees. Consider testing \(H_0: \sigma^2=100\) against \(H_{\mathrm{a}}: \sigma^2 \neq 100\).
a. Give the rejection region for the test at a significance level of \(\alpha=.01\).
b. Calculate the value of the test statistic.
c. Use the results, parts a and b, to make the appropriate conclusion.
Questions & Answers
QUESTION:
Latex allergy in health care workers (cont'd). Refer to Exercise 7.118. Let \(\sigma^2\) represent the variance in the number of latex gloves used per week by all hospital employees. Consider testing \(H_0: \sigma^2=100\) against \(H_{\mathrm{a}}: \sigma^2 \neq 100\).
a. Give the rejection region for the test at a significance level of \(\alpha=.01\).
b. Calculate the value of the test statistic.
c. Use the results, parts a and b, to make the appropriate conclusion.
ANSWER:Step 1 of 4
Here, it is given that denotes the variance of the number of latex gloves used per week by all the employees in a hospital.
The mean number of latex gloves used is =19.3 and the standard deviation of the number of gloves used is s=11.9 for the sample of 46 hospital employees.
The hypotheses to be tested are given as
=100 against
Using this we need to find the required values.