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Chapter 9: Q.24 (page 548)

You read that a statistical test at the 伪=0.01 level has a probability of 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative?

Short Answer

Expert verified

The power of the test against this alternative is 0.86

Step by step solution

01

Introduction

Error emerges with regards to independent direction, where the likelihood of error might be considered similar to the likelihood of pursuing an off-base choice and which would have an alternate incentive for each kind of error.

02

Explanation

We know,

Significance level伪=0.01

probability of making a Type II error = 0.14

Now,

Power = 1-probability of making a Type II error = 1-0.14

=0.86

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Most popular questions from this chapter

Charles Darwin, author of On the Origin of Species (1859), designed an experiment to compare the effects of cross-fertilization and self fertilization on the size of plants. He planted pairs of very similar seedling plants, one self-fertilized and one cross-fertilized, in each of pot15at the same time. After a period of time, Darwin measured the heights (in inches) of all the plants. Here are the data:

(a) Explain why it is not appropriate to perform a paired t test in this setting.

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(c) zrequires you to regard your data as an SRS from the population.

(d) zapplies only if the population distribution is perfectly Normal.

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