Refer to the sample data for polygraph tests shown below. if one of the test subjects is randomly selected, what is the probability that the subject is not lying? is the result close to the probability of 0.419 for a negative test result?
_ no_(did_not_lie) yes_(lied)
positive_test_results 12 38
negative_test_results 27 9

the probability that a randomly selected polygraph test subject was not lying is?
is the result close to the probability, rounded to three decimal places, of 0.419 for a negative test result?

a. no, because there is more than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.
b. yes, because there is more than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.
c. no, because there is less than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.
d. yes, because there is less than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.