Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.H0: The food is safe.Ha: The food is not safe.Is the following an example of a type I or type II error?The sample suggests that the food is safe, but it actually is not safe.Group of answer choicesType IType II
Question
Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.H0: The food is safe.Ha: The food is not safe.Is the following an example of a type I or type II error?The sample suggests that the food is safe, but it actually is not safe.Group of answer choicesType IType II
Solution
This is an example of a Type II error. In the context of hypothesis testing, a Type II error occurs when the null hypothesis (H0: The food is safe) is not rejected when it is false. In this case, the food is actually not safe, but the sample suggests that it is safe, which means the null hypothesis is not rejected when it should be. This is a false negative result.
Similar Questions
An agriculture company is testing a new product that is designed to make plants grow taller. This can be thought of as a hypothesis test with the following hypotheses.H0: The product does not change the height of the plant.Ha: The product makes the plant grow taller.Is the following an example of a type I or type II error?The sample suggests that the product makes the plant grow taller, but it actually does not change the height of the plant.Group of answer choicesType IIType I
Potential errors relative to Hypothesis testing are referred to as Type I error and Type II error. Group of answer choicesTrueFalse
When is there a risk of a Type II error?Group of answer choicesWhenever H0 is rejectedWhenever H1 is rejectedThe risk of a Type II error is independent of the decision from a hypothesis test.Whenever the decision is "fail to reject H0"
Suppose you are testing your friend to see whether she can tell the difference between the name brandand generic peanut butter. You give her 40 samples selected randomly, half from the name brand andhalf from the generic brand. The null hypothesis is that she is just guessing and should get about halfright. Explain what type I error would be in this case.A) Type I error would be saying that your friend cannot tell the difference between the two kinds ofpeanut butter, when she really can.B) Type I error would be saying that your friend can tell the difference between the two kinds of peanutbutter, when she really can.C) Type I error would be saying that your friend can tell the difference between the two kinds of peanutbutter, when she really cannot.D) Type I error would be saying that your friend cannot tell the difference between the two kinds ofpeanut butter, when she really cannot
Which one of the following statements about the Type I error of hypothesis testing is wrong? a. It is closely related to the significance level of the test. b. It means that we may fail to reject the null hypothesis H0 when H1 is true. c. It means that we may reject the null hypothesis H0 when H0 is actually true. d. Researchers can control the probability of Type I error.
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