Imagine you are working in a laboratory that tests for various conditions using

Question

Imagine you are working in a laboratory that tests for various conditions using blood and urine samples in humans. When administering these tests there is a known degree of error of 1 in 1000. On one very unlucky day you are returned two pregnancy tests from the same doctor’s office which come with a note that there is zero probability that they could be correct.

a) Given that there are only one of two outcomes for a pregnancy test, what are your null and alternative hypotheses?

b) You later find out that the first patient with the incorrect pregnancy test is a fourty-two year old male who was told that the test was positive. Is this a type I or type II error?

c) The second patient with the incorrect pregnancy test is a thirty-one year old female that is six months pregnant and was told that the test was negative. Is this a type I or type II error?

Explanation / Answer

A) As in these tests there is a known degree of error of 1 in 1000, So the null and the alternative hypothesis are

Null Hypothesis,            Error =0.001

Alternative Hypothesis Error >0.001

B) Since we are accepting a False null hypothesis that error is 0.001 which mean that fourty-two year old male is pregnant, So it is a Type II error

C) Since we are rejecting a true Null hypothesis that error is 0.001 which mean that the pregnant women is not pregnant

So it is a Type I error

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