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Chapter 9: Q T9.5 (page 616)
A random sample of 100 likely voters in a small city produced 59 voters in favor of Candidate A. The observed value of the standardized test statistic for performing a test of
is which of the following?
a)
b)
c)
d)
e)
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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?
Home computersRefer to Exercise 35.
a. Explain why the sample result gives some evidence for the alternative hypothesis.
b. Calculate the standardized test statistic and -value.
c. What conclusion would you make?
Don鈥檛 argue Refer to Exercises 2 and 12.
a. What conclusion would you make at the level?
b. Would your conclusion from part (a) change if a significance level was used
instead? Explain your reasoning.
Awful accidents Slow response times by paramedics, firefighters, and policemen can have serious consequences for accident victims. In the case of life-threatening injuries, victims generally need medical attention within minutes of the accident. Several cities have begun to monitor emergency response times. In one such city, emergency personnel took more than minutes to arrive on of all calls involving life-threatening injuries last year. The city manager shares this information and encourages these first responders to 鈥渄o better.鈥� After months, the city manager selects an SRS of 400 calls involving life- threatening injuries and examines the response times. She then performs a test at the level of : versus , where is the true proportion of calls involving life-threatening injuries during this -month period for which emergency personnel took more than minutes to arrive.
a. Describe a Type I error and a Type II error in this setting.
b. Which type of error is more serious in this case? Justify your answer.
c. Based on your answer to part (b), do you agree with the manager鈥檚 choice of ? Why or why not?
Interpreting a P-value A student performs a test of versus Ha:and gets a -value of The student says, "This means there is about achance that the null hypothesis is true." Explain why the student's explanation is wrong.
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