MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
thumb_up100%
Transcribed Image Text: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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 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.arrow_forwardA 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?arrow_forwardDiscuss 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?arrow_forward
- 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?arrow_forwardA 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?arrow_forward3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?arrow_forward
- A drug test facility uses a test that has a 1% false negative rate, and a 2% false positive rate. It is estimated that 4% of the population is taking this drug. If a random person who tested positive is chosen, what is the probability that they are actually taking the drug?arrow_forwardWords that are more likely to be contained in a phishing scam are called flagged words. Typically, there is a 94% chance that a phishing scam contains flagged words. There is a 20% chance that regular email contains flagged words. A security company estimates that 4.9% of emails are phishing scams. An email just came through that contains a flagged word. What are the chances that it is a phishing scam? (Enter the probability as a decimal rounded to four decimal places.)arrow_forwardIn a hypothesis test, if our calculated probability is greater than alpha, we should accept the null hypothesis. True Falsearrow_forward
- Statistical power is related to: a. effect size b. the probability of correctly rejecting the null hypothesis c. the probability of not making a Type 1 error d. the probability of not making a Type 2 errorarrow_forwardAssume 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?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman