Answered: Elissa goes to her doctor because she…

Elissa goes to her doctor because she thinks she is ill. (a) What is H0, Ha? (b) Type I error? Type II error? (c) Which of the errors are more serious and why?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.6: Permutations

Problem 4E

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Question

Elissa goes to her doctor because she thinks she is ill.

(a) What is H₀, Ha?

(b) Type I error? Type II error?

Expert Solution

Step 1

Elissa wants to test the hypothesis that whether she is ill or not.

The null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ ) can be framed as,

$H_{0} : Elissa is ill . H_{1} : Elissa is not ill .$

Step 2

Type I error is the rejection of a true null hypothesis.

According to the above hypothesis, Type I error is that doctor says Elissa is not ill, but actually, she is ill.

Type II error is the non-rejection of a false null hypothesis.

According to the above hypothesis, Type II error is that doctor says Elissa is ill, but actually, she is not ill.

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