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Chapter 9: Q.78 (page 589)

(a) Describe a Type I and a Type II error in this setting. Which type of error could you have made in Exercise 76? Why?

(b) Which of the following changes would give the test a higher power to detect 渭=120 minutes: using 伪=0.01 or 伪=0.10? Explain.

Short Answer

Expert verified

a. Type II error has been made

b. 伪=0.10would give the test a higher power

Step by step solution

01

Introduction

Type-I error: Rejecting the genuine invalid hypothesis or it is otherwise called misleading positive.

Type-II error: Non-rejection of a misleading invalid hypothesis or it is otherwise called bogus negative.

02

Explanation Part (a)

Type I error - Concluding that the first-year students at the university concentrate under 2.5hours of the night during the school week when they really review 2.5hours of the night during the school week.

Type-II error- Concluding that the first-year students at the university review 2.5hours of the night during the school week when they really concentrate under 2.5hours out of every night during the school week.

From the above information, a Type II error has been made.

03

Explanation Part (b)

伪=0.10 would give the test a higher power as increasing the significance level maximises the power of the test.

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