For the given hypothesis test, explain the meaning of the kind of error, as requested. Suppose you are testing your friend to see whether she can tell the difference between the name brand and generic peanut butter. You give her 80 samples selected randomly, half from the name brand and half from the generic brand. The null hypothesis is that she is just guessing and should get about half right. Explain what the first kind of error would be in this case (when you reject the null hypothesis when it is actually true). A. The first kind of error would be saying that your friend can tell the difference between the two kinds of peanut butter, when she really can't. B. The first kind of error would be saying that your friend can tell the difference between the two kinds of peanut butter when she really can. C. The first kind of error would be saying that your friend cannot tell the difference between the two kinds of peanut butter, when she really cannot. D. The first kind of error would be saying that your friend cannot tell the difference between the two kinds of peanut butter when she really can.

Option A is correct: A. The first kind of error would be saying that your friend can tell the difference between the two kinds of peanut butter, when she really can't.

Step-by-step explanation:

The null hypothesis: the lady is just guessing and should get about half right.

So the first kind of error (when you reject the null hypothesis when it is actually true): the lady is not just guessing and can tell the difference between the two kinds of peanut butter, whereas in reality, she can't tell the difference and is just guessing randomly.