### Understanding Type I Errors in Hypothesis TestingA Type I error, also known as a "false positive," occurs in hypothesis testing when a true null hypothesis is incorrectly rejected. This means that the test suggests there is an effect or difference when, in fact, none exists. Understanding Type I errors is crucial for accurate data analysis and scientific research.Below are multiple-choice options to test your understanding of Type I errors:1. **Making a correct decision in a hypothesis test.**2. **When a correct null hypothesis is rejected in a hypothesis test.**3. **Usually not controlled for in a hypothesis test.**4. **When a correct alternative hypothesis is rejected in a hypothesis test.**5. **Both (c) and (d) are true.**### Answer Key:Option 2 is the correct definition of a Type I error.**Note:** In the image, an annotation marks the correct answer as option 2.Understanding and controlling for Type I errors is essential for ensuring the validity and reliability of your hypothesis testing results.

Answered: A Type I error is making a correct…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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TYPE 1 error, TYPE 2 error, correct decision for the first 4 blanks.
If your claim is in the alternative hypothesis and you fail to reject the null hypothesis, then your conclusion would be (pick an option): There is sufficient evidence to warrant rejection of the original claim The sample data support the original claim There is not sufficient evidence to warrant rejection of the original claim There is not sufficient sample evidence to support the original claim
A well known Maine canoe company claims to be favored by over 60% of white water canoeists. A hypothesis test is performed and you can determine that you should reject the null hypothesis. How should you state your conclusion?
A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as a hypothesis test with the following hypotheses: Explain the meaning of a Type I error.
Explain the difference, in your own words, between a null hypothesis and the alternative hypothesis. What do we set up hypothesis testing in this way?
If you make an error of rejecting the null hypothesis when it is true, this type of error is Type I error. True False
Suppose you have a hypothesis test which never rejects the null hypothesis, no matter the value of the test statistic. Name a potential problem with such a test. Select one: O a. Using this test would lead to making an excessive number of Type Il errors. O b. There can be no problem with such a hypothesis test, this is the ideal scenario. O c. Using this test would lead to making an excessive number of Type l errors.
Data shows that 11% of fatal vehicle accidents involved large trucks. A statistician for an insurance company believes that is higher than 11%. The statistician randomly selected 200 fatal vehicle accidents and finds that 26 involve large trucks. Is the statistician correct? What is the test statistic for this hypothesis test? Data shows that 11% of fatal vehicle accidents involved large trucks. A statistician for an insurance company believes that is higher than 11%. The statistician randomly selected 200 fatal vehicle accidents and finds that 26 involve large trucks. Is the statistician correct? What is the test statistic for this hypothesis test? 0.9040 0.1830 0.3660 0.8170
A Type II error is defined as a. rejecting a null hypothesis when it is in fact true b. failing to reject a false null hypothesis c. rejecting a false null hypothesis d. failing to reject a true null hypothesis
A medical researcher claims that 70% of people pay for prescriptions with private insurance, 25% pay with Medicare, and the remaining pay with personal funds. To evaluate this claim, a random sample of 50 people was taken. The sample had the following results: Private Insurance Medicare Personal 32 10 8 What is the null hypothesis for the test? Enter the null hypothesis in the first blank. You do NOT need to enter the alternative hypothesis. Calculate the test statistic for the test and enter it in the second blank. Round your final answer to three decimals. Find the critical value cutoff for the rejection region and enter it in the third blank. Use alpha = 0.005.
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A Type I error is making a correct decision in a hypothesis test. when a correct null hypothesis is rejected in a hypothesis test. O usually not controlled for in a hypothesis test. when a correct alternative hypothesis is rejected in a hypothesis test. both (c) and (d) are true.