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Chapter 7: Q3E (page 397)
What is the level of significance of a test of hypothesis?
The significance level is a predefined value of the probability of making a false decision.
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鈥淢ade in the USA鈥� survey. Refer to the Journal of Global Business (Spring 2002) study of what 鈥淢ade in the USA鈥� means to consumers, Exercise 2.154 (p. 143). Recall that 64 of 106 randomly selected shoppers believed 鈥淢ade in the USA鈥� means 100% of labor and materials are from the United States. Let p represent the true proportion of consumers who believe 鈥淢ade in the USA鈥� means 100% of labor and materials are from the United States.
a. Calculate a point estimate for p.
A random sample of n observations is selected from a normal population to test the null hypothesis that 碌=10.Specify the rejection region for each of the following combinations of \(Ha,\alpha ,\) and n:
a.\(Ha:\)碌\( \ne 10;\alpha = .05.;n = 14\)
b.\(Ha:\)碌\( > 10;\alpha = .01;n = 24\)\(\)
c.\(Ha:\)碌\( > 10;\alpha = .10;n = 9\)
d.\(Ha:\)碌 <\(10:\alpha = .01;n = 12\)
e.\(Ha:\)碌\( \ne 10;\alpha = .10;n = 20\)
f. \(Ha:\)碌<\(10;\alpha = .05;n = 4\)
FDA certification of new drugs. Pharmaceutical companies spend billions of dollars per year on research and development of new drugs. The pharmaceutical company must subject each new drug to lengthy and involved testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. The FDA鈥檚 policy is that the pharmaceutical company must provide substantial evidence that a new drug is safe prior to receiving FDA approval, so that the FDA can confidently certify the safety of the drug to potential consumers.
a. If the new drug testing were to be placed in a test of hypothesis framework, would the null hypothesis be that the drug is safe or unsafe? The alternative hypothesis?
Which hypothesis, the null or the alternative, is the status-quo hypothesis? Which is the research hypothesis?
An analyst tested the null hypothesis that 渭 鈮� 20against the alternative hypothesis that 渭 <20. The analyst reported a p-value of .06. What is the smallest value of伪for which the null hypothesis would be rejected?
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