True or false? Type I (α) and type II errors (β) are linearly related.

True or false?

Type I (α) and type II errors (β) are linearly related.

Solutions

Expert Solution

FALSE

Explanation- Every time, when we made any decision or conclusion using statistics there are four possible outcomes; two correct decisions, two representing errors. (as shown in the table below)

CORRECT

CONCLUSION

TYPE I ERROR

Reject a true null hypothesis

TYPE II ERROR

Accept a false null hypothesis

CORRECT

CONCLUSION

The chance of committing these two errors (type I and type II) are inversely proportional. When type I error rate decreases, type II error rate increases, and vice versa.

The Type I error or α (alpha), error rate is usually set in advance by the researcher. The Type II error rate for a given test is harder to know because it requires estimating the distribution of the alternative hypothesis, which is usually unknown.

Therefore, there is no linear relation between the two errors, and these two errors are inversely related to each other.

Rahul Sunny answered 1 year ago

Next > < Previous

Related Solutions

Type I and Type II Errors . Please discuss Type I and Type II errors. What...

Type I and Type II Errors . Please discuss Type I and Type II errors. What are they? Discuss their relationship with hypothesis testing. Answer all parts of question!!! Do not plagiarize!! Write out the answer on here, don't post a picture of it! Answer must be long!

Type I and II Errors

A manufacturer of 40-amp fuses wants to make sure that the mean amperage at which its fuses burn out is in fact 40. If the mean amperage is lower than 40, customerswill complain because the fuses require replacement too often. If higher, the manufacturer might be liable for damage. To verify the amperage of the fuses, a sample offuses is to be selected and inspected. If a hypothesis test were to be performed on the resulting data, what null and...

Explain what Type I and Type II errors are.

8) Errors: Type I and Type II are errors that are possible even when a hypothesis...

8) Errors: Type I and Type II are errors that are possible even when a hypothesis test is done correctly. A hypothesis test is based on probabilities (p-values) This means there is always a probability of drawing the wrong conclusion even when done correctly. Please review the following: a.) What are type I and type II errors? b.) Be able to discuss what a type I or type II error is in a given scenario c.) What is the relationship...

• What is the level of significance? • What are Type I and Type II errors?...

• What is the level of significance? • What are Type I and Type II errors? • Interpreting and determining p-values • What is the relationship between sample size and power? • Understand the difference between a p-value and a confidence interval—strengths and weaknesses

True or False: Three types of errors can occur in significance testing. A type I error...

True or False: Three types of errors can occur in significance testing. A type I error results from rejecting Ho when it is true. A type II error results from failing to reject Ho. A type III error results from a statistic student not reading the textbook, reviewing their notes and summary questions, correcting old quiz and exam questions for the Final Comprehensive Exam

A) Hypothesis Testing - Type I and Type II errors: You test the claim that the...

A) Hypothesis Testing - Type I and Type II errors: You test the claim that the mean gas mileage of all cars of a certain make is less than 29 miles per gallon (mpg). You perform this test at the 0.10 significance level. What is the probability of a Type I error for this test? B)Sleep: Assume the general population gets an average of 7 hours of sleep per night. You randomly select 40 college students and survey them on...

Type I and Type II errors Statistically speaking, we are generally agnostic to which is a...

Type I and Type II errors Statistically speaking, we are generally agnostic to which is a bigger problem, type I (false positive) errors or type II (false negative) errors. However, in certain circumstances it may be important to try and put more emphasis on avoiding one or the other. Can you think of an example of where you may want to try harder to avoid one type or another? Can you think of a policy; political, economic, social, or otherwise,...

Explain Type I and Type II errors in detail ( with example of your choice). Define...

Explain Type I and Type II errors in detail ( with example of your choice). Define level of significance and p Values. Interpret P-value of 0.023 in Hypothesis testing in general.

what is meant by Type I and Type II errors. Why are these important? Name one...

what is meant by Type I and Type II errors. Why are these important? Name one thing that can be done to improve internal validity of a study.

Subjects