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Chapter 9: Q R9.6 (page 615)
Flu vaccine Refer to Exercise. Of the adults who were given the vaccine, got the flu. Do these data provide convincing evidence to support the company鈥檚 claim?
There is not sufficient evidence to support the claim.
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Do you Tweet? The Pew Internet and American Life Project asked a random sample of U.S. adults, 鈥淒o you ever 鈥� use Twitter or another service to share updates about yourself or to see updates about others?鈥� According to Pew, the resulting 95% confidence interval is (0.123, 0.177).11 Based on the confidence interval, is there convincing evidence that the true proportion of U.S. adults who would say they use Twitter or another service to share updates differs from 0.17? Explain your reasoning.
Teen drivers A state鈥檚 Division of Motor Vehicles (DMV) claims that
of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for teens; of them passed the test on their first try. Is there convincing evidence at the significance level that the DMV鈥檚 claim is incorrect?
The standardized test statistic for a test of versus isThis test is
a. not significant at either or
b. significant at but not at
c. significant atbut not at
d. significant at both and
e. inconclusive because we don鈥檛 know the value of
Side effects A drug manufacturer claims that less than of patients who take its new drug for treating Alzheimer鈥檚 disease will experience nausea. To test this claim, researchers conduct an experiment. They give the new drug to a random sample of out of Alzheimer鈥檚 patients whose families have given informed consent for the patients to participate in the study. In all, of the subjects experience nausea.
a. Describe a Type I error and a Type II error in this setting, and give a possible
consequence of each.
b. Do these data provide convincing evidence for the drug manufacturer鈥檚 claim?
Potato chips A company that makes potato chips requires each shipment of
potatoes to meet certain quality standards. If the company finds convincing evidence that more than of the potatoes in the shipment have 鈥渂lemishes,鈥� the truck will be sent back to the supplier to get another load of potatoes. Otherwise, the entire truckload will be used to make potato chips. To make the decision, a supervisor will inspect a random sample of potatoes from the shipment. He will then perform a test of versus , where p is the true proportion of potatoes with blemishes in a given truckload. The power of the test to detect that , based on a random sample of potatoes and significance level , is Interpret this value.
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