Chapter 7: Q2E (page 397)
Which element of a test of hypothesis is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis?
Rejection region is the element of a test of hypothesis used to decide about the rejection of null hypothesis.
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What is the level of significance of a test of hypothesis?
: A random sample of n = 200 observations from a binomial population yield
a. Test against . Use.Managers who engage in “coopetition.” In business, firms that both cooperate and compete with other firms are described as engaging in “coopetition.” A study published in Industrial Marketing Management (February 2016) examined the level of external tension experienced by managers who engage in coopetition. External tension (measured on a 20-point scale) was recorded for each in a sample of 1,532 managers, all from firms that were engaged in coopetition. The sample mean tension was x=10.82 and the sample standard deviation was s=3.04.
Conduct a test (using a=.05) to determine if the true mean external tension level of all managers who engage in coopetition differs from 10.5 points.
Latex allergy in health care workers. Refer to the Current Allergy & Clinical Immunology (March 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. 375). The number of latex gloves used per week by the sampled workers is summarized as follows: \(\bar x = 19.3\) and s = 11.9. Let \(\mu \) represent the mean number of latex gloves used per week by all hospital employees. Consider testing \({H_0}:\mu = 20\) against \({H_a}:\mu < 20.\)
a. Give the rejection region for the test at a significance level of \(\alpha = 0.01.\)
“Made in the USA” survey. Refer to the Journal of Global Business (Spring 2002) study of what “Made in the USA” means to consumers, Exercise 2.154 (p. 143). Recall that 64 of 106 randomly selected shoppers believed “Made in the USA” means 100% of labor and materials are from the United States. Let p represent the true proportion of consumers who believe “Made in the USA” means 100% of labor and materials are from the United States.
a. Calculate a point estimate for p.
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