Knowee
Questions
Features
Study Tools

You are testing a hypothesis at 𝛼 = 0.01. What is the probability of committing a Type I error?*99%10%1%0%None of the above

Question

You are testing a hypothesis at 𝛼 = 0.01. What is the probability of committing a Type I error?

  • 99%
  • 10%
  • 1%
  • 0%
  • None of the above
🧐 Not the exact question you are looking for?Go ask a question

Solution

Step 1: Break Down the Problem

To solve the problem, we need to understand what a Type I error is in hypothesis testing. A Type I error occurs when we reject the null hypothesis when it is, in fact, true. The significance level, denoted by α \alpha , represents the probability of committing a Type I error.

Step 2: Relevant Concepts

In this case, the significance level α \alpha has been given as 0.01. This represents the threshold at which we determine whether to reject the null hypothesis.

Step 3: Analysis and Detail

Since α \alpha is defined as the probability of committing a Type I error, if α=0.01 \alpha = 0.01 , then the probability of committing a Type I error is simply 1% or 0.01.

Step 4: Verify and Summarize

Given the direct relationship between α \alpha and the probability of a Type I error, our findings verify that the probability of committing a Type I error is indeed equal to the given significance level.

Final Answer

The probability of committing a Type I error is 1% 1\% .

This problem has been solved

Similar Questions

The symbol for the probability of committing a Type I error of a statistical test isA.α B. 1 - α C.β D.1 - β

75 % level of significance means there are _____ out of 100 chances of committing type I errora.25b.75c.7.5d.0.75

What type of error is associated with the probability making a false positive?Question 15Answera.Type II errorb.Nonec.Powerd.Type I error

Which of the following is not a possible value for a probability?A.B.0.82C.D.0.001

The probability of making a Type I error when the null hypothesis is true as an equality is called the level of significance Group of answer choicesFalseTrue

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.