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Flu vaccine A drug company has developed a new vaccine for preventing the flu. The company claims that fewer than 5% of adults who use its vaccine will get the flu. To test the claim, researchers give the vaccine to a random sample of 1000 adults.

a. State appropriate hypotheses for testing the company鈥檚 claim. Be sure to define your parameter.

b. Describe a Type I error and a Type II error in this setting, and give the consequences Page Number: 615 of each.

c. Would you recommend a significance level of 0.01, 0.05, or 0.10 for this test? Justify your choice.

d. The power of the test to detect the fact that only 3% of adults who use this vaccine would develop flu using 伪=0.05 is 0.9437. Interpret this value.

e. Explain two ways that you could increase the power of the test from part (d).

Short Answer

Expert verified

Part a)

Part b)

Part c)

Part d)

Part e)

Step by step solution

01

Part (a) Step 1:Given information

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Most popular questions from this chapter

You are testing H0:=10 against Ha:10 based on an SRS of 15

observations from a Normal population. What values of the t statistic are statistically significant at the =0.005 level?

a.t>3.326b.t>3.286c.t>2.977d.t<3.326ort>3.326e.t<3.286ort>3.286

Restaurant power Refer to Exercise 86 Determine if each of the following changes would increase or decrease the power of the test. Explain your answers.

a. Use a random sample of 30 people instead of 50 people.

b. Try to detect that =\(85,500 instead of =\)86,000

c. Change the significance level to =0.10

The standardized test statistic for a test of H0:p=0.4versus Ha:pnotequalto0.4isz=2.43This test is

a. not significant at either =0.05or =0.01

b. significant at =0.05but not at=0.01

c. significant at=0.01but not at =0.05

d. significant at both =0.05and=0.01

e. inconclusive because we don鈥檛 know the value of p^

We want to be rich In a recent year, 73%of first-year college students responding to a national survey identified 鈥渂eing very well-off financially鈥 as an important personal goal. A state university finds that 132of an SRS of 200of its first-year students say that this goal is important. Is there convincing evidence at the =0.05significance level that the proportion of all first-year students at this university who think being very well-off is important differs from the national value of 73%?

Don't argue Refer to Exercise 2. Yvonne finds that 96 of the 150 students (64%) say they rarely or never argue with friends. A significance test yields a P-value of0.0291 Interpret the P-value.

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