6.3: Errors & Power (Statistics)
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
David HS)
Used 10+ times
FREE Resource
47 Slides • 0 Questions
1
6.3: Errors & Power
2
3
Innocent person goes to
jail.
4
Correct Decision!
Innocent person goes to
jail.
5
Correct Decision!
Innocent person goes to
jail.
Correct Decision!
6
Correct Decision!
Innocent person goes to
jail.
Correct Decision!
Guilty person goes free.
7
Correct Decision!
Innocent person goes to
jail.
Correct Decision!
Guilty person goes free.
8
9
Will we reject or fail to reject the null hypothesis?
10
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
11
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
12
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
Ha
Ho
13
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
Ho Ha
Ha
Ho
14
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
Ho Ha
Ha
Ho
Type I
Error
15
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
Ho Ha
Ha
Ho
Type I
Error
Correct!
"Power"
16
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
Ho Ha
Ha
Ho
Type I
Error
Correct!
"Power"
Correct!
17
Will we reject or fail to reject the null hypothesis?
Assume the claim Ho is true.
Find the p-value from the sample data.
Ho Ha
Ha
Ho
Type I
Error
Correct!
"Power"
Correct!
Type II
Error
18
19
reject Ho
20
reject Ho
failed to reject Ho
21
reject Ho
failed to reject Ho
significance level
22
reject Ho
failed to reject Ho
significance level
P(Type I error) = alpha level (α)
23
power
24
power
The probability we reject Ho correctly.
25
power
The probability we reject Ho correctly.
reject Ho correctly.
26
fail to reject Ho
27
fail to reject Ho
β
28
fail to reject Ho
β
P(Type II error) = β
29
fail to reject Ho
β
P(Type II error) = β
power = 1 - β
30
31
32
Type1: We say the patient does not have arthritis, when they really don't.
33
Type I: We say the patient does not have arthritis, when they really don't.
Consequence: The patient gets unnecessary treatment.
34
Type I: We say the patient does have arthritis, when they really don't.
Consequence: The patient gets unnecessary treatment.
Type II: We say the patient does not have arthritis, when they really do.
35
Type I: We say the patient does have arthritis, when they really don't.
Consequence: The patient gets unnecessary treatment.
Type II: We say the patient does not have arthritis, when they really do.
Consequence: The patient does not get the necessary treatment they need.
36
37
Type I error (α)
38
Type I error (α)
Power
39
Type I error (α)
Power (1 - β)
Correct
40
Type I error (α)
Power (1 - β)
Correct
Type II error (β)
41
Type I error (α)
Power (1 - β)
Correct
Type II error (β)
significance level
42
Type I error (α)
Power (1 - β)
Correct
Type II error (β)
significance level
The more likely we are to reject the null hypothesis (Ho), the more likely we are going to do it correctly.
43
Type I error (α)
Power (1 - β)
Correct
Type II error (β)
significance level
The more likely we are to reject the null hypothesis (Ho), the more likely we are going to do it correctly.
Reject Ho correctly
44
lower
45
lower
They increase/decrease together
46
lower
They increase/decrease together
When the others increase/decrease, Type II does the opposite.
47
lower
They increase/decrease together
When the others increase/decrease, Type II does the opposite.
6.3: Errors & Power
Show answer
Auto Play
Slide 1 / 47
SLIDE
Similar Resources on Wayground
41 questions
3D Shapes : Year 1
Presentation
•
KG
44 questions
Distance & Midpoint Formulas
Presentation
•
8th - 12th Grade
38 questions
Proving Triangles are Congruent
Presentation
•
9th - 12th Grade
42 questions
LESSON - Solving Linear Equations
Presentation
•
9th - 12th Grade
43 questions
Waves Lesson 1
Presentation
•
9th - 12th Grade
42 questions
LESSON - Factoring Quadratics
Presentation
•
9th - 12th Grade
42 questions
Systems of Linear Inequalities by Graphing
Presentation
•
9th - 12th Grade
39 questions
Lesson 48 Fall 2022 Parallel Lines and Transversals
Presentation
•
9th - 12th Grade
Popular Resources on Wayground
6 questions
Secondary Safety Quiz
Presentation
•
9th - 12th Grade
10 questions
Afterschool Activities & Sports
Quiz
•
6th - 8th Grade
19 questions
ROAR Week 2026
Quiz
•
9th - 12th Grade
20 questions
Lab Safety Quiz
Quiz
•
6th Grade
15 questions
Cool Tool:Chromebook
Quiz
•
6th - 8th Grade
22 questions
would you rather
Quiz
•
3rd - 11th Grade
21 questions
Continents and Oceans
Quiz
•
6th Grade
20 questions
Parts of Speech
Quiz
•
5th Grade
Discover more resources for Mathematics
20 questions
1.1 (a) Classifying Polynomials
Quiz
•
9th Grade
20 questions
Tues(Aug 11) BB: M1, T1, Lesson 1 Assign.
Quiz
•
9th Grade
23 questions
Six Parent Functions
Quiz
•
9th - 12th Grade
20 questions
Solving Multi-Step Equations
Quiz
•
10th Grade
20 questions
Basic Constructions
Quiz
•
10th Grade
19 questions
Classify Types of Real Numbers
Quiz
•
9th - 12th Grade
22 questions
CHS Safety Day Review Quiz
Quiz
•
9th - 12th Grade
13 questions
Rational and Irrational Numbers
Quiz
•
9th Grade