Question

Suppose that patients are administered a "K-test" to test for the presence of Syndrome K. Consider the following table, summarizing data from 1000 patients:

	# Patients with Syndrome K	# Patients without Syndrome K	TOTALS:
K-test was positive for Syndrome K	136	91	227
K-test was negative for syndrome K	25	748	773
TOTALS:	161	748	1000

Which of the following is true about the Type I error of the K-test?

Group of answer choices

It is equal to the true positive rate of the K-test

It is equal to 0.400

It is equal to 0.032

It is equal to the false negative rate of the K-test

Answer 1

Solution:

Which of the following is true about the Type I error of the K-test?

Answer: It is equal to 0.400

Explanation:

Type I error is also called False Positive and in the given K-test. The probability of false positive is:

$\small \boldsymbol{P(False-positive)=\frac{91}{227}=0.4009\approx 0.400}$