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Chapter 9: Q 108. (page 611)

A researcher plans to conduct a significance test at the 伪=0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter she used is

a.0.01.b.0.10.c.0.89.d.0.90.e.0.99.

Short Answer

Expert verified

The correct option is (b) 0.10

Step by step solution

01

Given information

伪=0.01

02

Explanation

The most appropriate response to the given statement "A researcher intends to conduct a significance test with a significance level of 伪=0.01. She plans for a power of 0.90for a certain alternative value of the parameter of interest in her investigation. She computed the power at a certain alternative value of the parameter, the risk of the researcher making a Type II error is 0.10"

Power is calculated in this case as,

1鈭�P(Type2error)P(Type2error)+Power=1P(Type2error)=1鈭�PowerP(Type2error)=1鈭�0.90P(Type2error)=0.10

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Most popular questions from this chapter

Ski jump When ski jumpers take off, the distance they fly varies considerably depending on their speed, skill, and wind conditions. Event organizers must position the landing area to allow for differences in the distances that the athletes fly. For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be \(\sigma=10\) \(\sigma=10\) meters. An experienced jumper thinks that the organizers are underestimating the variation.

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effective for this variety of grass?

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Which of choices (a) through (d) is not a condition for performing a significance test about a population proportion p?

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b. Both np0and n(1-p0)should be at least 10.

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d. The population distribution should be approximately Normal unless the sample size is large.

e. All of the above are conditions for performing a significance test about a population proportion.
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