What is the Probability of a Correct Decision in hypothesis?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 12T
icon
Related questions
Question

What is the Probability of a Correct Decision in hypothesis?

Expert Solution
Step 1

While testing a hypothesis, we can make 2 types of error:

  1. Type 1 error
    1. Rejecting the null hypothesis when the null hypothesis is true
  2. Type 2 error
    1. Accepting the null hypothesis when the alternative hypothesis is true.

 

Step 2

 

Our outcome

Accepting the null hypothesis

Rejecting the Null Hypothesis/Accepting alternative hypothesis

Reality

The null hypothesis is true

Correct decision

Type 1 error

The alternative hypothesis is true

Type 2 Error

Correct decision

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning