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?

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.