A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 95% reliable. In other words, if an individual lies, there is a 0.95 probability that the test will detect a lie. Let there also be a 0.025 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions. a. What is the probability of a Type I error? (Round your answer to 3 decimal places.) Probability b. What is the probability of a Type II error? (Round your answer to 2 decimal places.) Probability

A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 95% reliable. In other words, if an individual lies, there is a 0.95 probability that the test will detect a lie. Let there also be a 0.025 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions. a. What is the probability of a Type I error? (Round your answer to 3 decimal places.) Probability b. What is the probability of a Type II error? (Round your answer to 2 decimal places.) Probability

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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Which of the following statements about Type 1 and Type 2 error is false? They are both a form of chance error. They are both represented using Greek letters. They are both a form of systematic error. Ideally you should try to keep both as low as possible in your study.
A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 84% reliable. In other words, if an individual lies, there is a 0.84 probability that the test will detect a lie. Let there also be a 0.020 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, “the individual is telling the truth,” to answer the following questions. a. What is the probability of Type I error? b. What is the probability of Type II error?
Discuss the implications of nonresponse error; consider this to be questionnaires that are sent to a sample and are not returned. For example say 400 people are selected for a probability sample but only 200 complete and return the survey. Also discuss ways to deal with nonresponse error and to discover whether or not it is a problem. A critical issue here is how to go about proving that the sample results that are actually obtained are representative of the population. What can be done to corroborate this?
A researcher is looking at a new marketing campaign for a product. After 200 people watched the marketing campaign about 60 percent liked the product. Prior to the marketing campaign the product was liked by about 50 percent of people. What is the expected number of people that do not like the product if the null hypothesis is true and what is the observed number of people that do not like a product after watching the marketing campaign?
A fellow student tells you the P-value is the probability that the null hypothesis is true, so when the P-value is small, you reject the null hypothesis. Explain why the student is not correct. What would you tell the student about the P-value to help them out? What exactly is the relationship between the P-value and the hypotheses?
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In a hypothesis test, if our calculated probability is greater than alpha, we should accept the null hypothesis. True False
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Assume that among the general population, 13 people out of every 1000 have HIV/AIDS. A pharmaceutical company designs a screening test for HIV/AIDS that has a 99% sensitivity and an 89% specificity. Given that someone has a positive test result, what is the probability they have HIV/AIDS?