Question

2. An article in Current Allergy & Clinical Immunology (Mar. 2004) studied n = 46 hospital employees who were

diagnosed with allergic reactions on their hands and arms. There is some evidence that latex allergies develop

from exposure to the powder on latex gloves. The number of pairs of latex gloves used per week by the sampled

workers is summarized as follows: ? = 19.3 and s = 11.9. Let μ represent the mean number of pairs of latex

gloves used per week by all hospital employees. If the mean number is less than 20, it would appear that the

gloves are not the problem and the hospital will form a task force to investigate the cause of the allergies.

a. Test whether the mean number is less than 20 at the 1% level of significance.

b. Is this a statistically significant result? Explain what is meant when we say our test has a statistically

significant result.

c. Give the definition of p-value.

d. Calculate the p-value for this test and interpret the result.

Answer 1