You conducted a statistical analysis and did not find that there was a statistical difference in life satisfaction between people who own dogs (N = 5) and people who do not own dogs (N = 5). You still maintain that people who own dogs have happier lives than people who do not. Therefore, you suspect that you have a Type II error.In reviewing your study design (described above), you decided there were a few things that probably decreased the power of your study. What are two things decreased the power of your study? If you were to conduct your study again, describe how you could remedy these two problems, and thereby reduce the probability of a type II error (i.e., increasing the power of your study).

Type 2 error: The wrong decision of accepting H0 when it is incorrect i.e. we accept H0 when it is…

Answered: You conducted a statistical analysis…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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You conducted a statistical analysis and did not find that there was a statistical difference in life satisfaction between people who own dogs (N = 5) and people who do not own dogs (N = 5). You still maintain that people who own dogs have happier lives than people who do not. Therefore, you suspect that you have a Type II error.

In reviewing your study design (described above), you decided there were a few things that probably decreased the power of your study. What are two things decreased the power of your study? If you were to conduct your study again, describe how you could remedy these two problems, and thereby reduce the probability of a type II error (i.e., increasing the power of your study).

Expert Solution

Step 1

Type 2 error: The wrong decision of accepting H₀ when it is incorrect i.e. we accept H₀when it is incorrect. i.e. we accept H₀ when H₁ is true. Pr of type 2 error is denoted by β.

$\begin{array}{rcl} β & = & P [a c c e p t H_{0} w h e n H_{1} i s t r u e] \\ = & P [a c c e p t \frac{H_{0}}{H_{1}}] \end{array}$

Power of test: The Pr of rejecting H₀ when H₁ is true i.e. Pr of the sample points falls in critical region. It depends on H₁ & critical region.

$\begin{array}{rcl} 1 - β & = & P [r e j e c t H_{0} w h e n H_{1} i s t r u e] \\ = & 1 - P [a c c e p t i n g H_{0} w h e n H_{1} i s t r u e] \\ = & 1 - P [t y p e 2 e r r o r] \end{array}$

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