Why can decreasing the probability of a type I error cause an increase in the probability of a type Il error? .....

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
icon
Related questions
Question

Please answer the questions in the photo. Thank You!

Why can decreasing the probability of a type I error cause an increase in the probability of a type Il error?
.....
Choose the correct answer below.
O A. Decreasing a increases the probability of rejecting the null hypothesis. This decreases the probability of the complement, failing to reject the null hypothesis,
which could increase the probability of failing to reject the alternative hypothesis when it is false, a type Il error.
B. Decreasing a decreases the probability of failing to reject the null hypothesis. This increases the probability of the complement, rejecting the null hypothesis,
which could increase the probability of rejecting the null hypothesis when it is true, a type Il error.
O C. Decreasing a decreases the probability of rejecting the null hypothesis. This increases the probability of the complement, not rejecting the null hypothesis, which
could increase the probability of failing to reject the null hypothesis when it is false, a type Il error.
D. Decreasing a increases the probability of rejecting the null hypothesis, which increases the probability of rejecting the null hypothesis when it is true, a type II
error.
Transcribed Image Text:Why can decreasing the probability of a type I error cause an increase in the probability of a type Il error? ..... Choose the correct answer below. O A. Decreasing a increases the probability of rejecting the null hypothesis. This decreases the probability of the complement, failing to reject the null hypothesis, which could increase the probability of failing to reject the alternative hypothesis when it is false, a type Il error. B. Decreasing a decreases the probability of failing to reject the null hypothesis. This increases the probability of the complement, rejecting the null hypothesis, which could increase the probability of rejecting the null hypothesis when it is true, a type Il error. O C. Decreasing a decreases the probability of rejecting the null hypothesis. This increases the probability of the complement, not rejecting the null hypothesis, which could increase the probability of failing to reject the null hypothesis when it is false, a type Il error. D. Decreasing a increases the probability of rejecting the null hypothesis, which increases the probability of rejecting the null hypothesis when it is true, a type II error.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax