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Chapter 9: Q.100 (page 592)
You are testing against based on an SRS of observations from a Normal population. The statistic is . The -value
(a) falls between
(b) falls between
(c) falls between
(d) falls between .
(c) is greater than.
(a) The - value falls between .
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A college professor suspects that students at his school are getting less than 8 hours of sleep a night, on average. To test his belief, the professor asks a random sample of students, 鈥淗ow much sleep did you get last night?鈥� Here are the data (in hours):
Do these data provide convincing evidence in support of the professor鈥檚 suspicion? Carry out a significance test at the level to help answer this question.
Power A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating Alzheimer's disease will experience nausea. To test this claim, a significance test is carried out of
You learn that the power of this test at the 5 % significance level against the alternative p=0.08 is 0.64.
(a) Explain in simple language what "power =0.64" means in this setting.
(b) You could get higher power against the same alternative with the same by changing the number of measurements you make. Should you make more measurements or fewer to increase power? Explain.
(c) If you decide to use in place of , with no other changes in the test, will the power increase or decrease? Justify your answer.
(d) If you shift your interest to the alternative p= 0.07 with no other changes, will the power increase or decrease? Justify your answer.
Do you have ESP? A researcher looking for evidence of extrasensory perception (ESP) tests subjects. Four of these subjects do significantly better than random guessing.
(a) Is it proper to conclude that these four people have ESP? Explain your answer.
(b) What should the researcher now do to test whether any of these four subjects have ESP?
A Gallup Poll report on a national survey of 1028 teenagers revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this national result would be true in her large high school. So she surveys a
a random sample of 150 students at her school.
You read that a statistical test at significance level=0.05 has power 0.78. What are the probabilities of Type I and Type II errors for this test?
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