1)
a)probability of a type I error =0.08
b)
type II error =1-P(do not detect a lie |lied) =1-0.92 =0.08
2)
a)
probability of a type I error =0.039
b)
type II error =1-0.944 =0.056
A polygraph (lie detector) is an instrument used to determine if an individual is telling the...
A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 89% reliable. In other words, if an individual lies, there is a 0.89 probability that the test will detect a lie. Let there also be a 0.100 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...
A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 93% reliable. In other words, if an individual lies, there is a 0.930 probability that the test will detect a lie. Let there also be a 0.003 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...
A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 88% reliable. In other words, if an individual lies, there is a 0.88 probability that the test will detect a lie. Let there also be a 0.035 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...
A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 96% reliable. In other words, if an individual lies, there is a 0.96 probability that the test will detect a lie. Let there also be a 0.008 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...
Check my work A polygraph (lle detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 93% reliable. In other words, if an individual lies, there is a 0.93 probability that the test will detect a lie. Let there also be a 0.003 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,"...
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 94.4% of the people who have that disease. However, it erroneously gives a positive reaction in 3.9% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease" to answer the following questions. a. What is the probability of a Type I error?...
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 94.8% of the people who have that disease. However, it erroneously gives a positive reaction 3.3% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease,to answer the following questions. o. What is the probability of a Type l error? (Round your...
Just need part c and d 11. The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 98% of the people who have that disease. However, it erroneously gives a positive reaction in 3% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease" to answer the following questions. a. What is...
Polygraph lie-detector machines are commonly used in criminal investigations. The device measures nervous excitement, operating on the idea that if a person is telling the truth they will remain calm. The American Polygraph Association claims that polygraphs accurately identify liars 90% of the time. In other words, if a person lied the test results will be positive 90% of the time. Although the polygraph test is good at identifying liars, there is a 50% chance that the polygraph test will...
Polygraph tests have an accuracy rate of about 90%. This means that it will detect 90% of people who lie and 90% of people who are telling the truth. A company of 5000 employees has everyone submit to a polygraph test. It turns out there are 50 employees who will lie during their polygraph. (Hint: Tests Positive means they are lying!) Complete a table as in your course materials and use it to answer the given question. If someone does...