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
Question
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
Solution
To determine the type I error in this scenario, we need to understand the null hypothesis and what it means to reject it incorrectly.
- Null Hypothesis (H0): Your friend is just guessing and should get about half of the samples right.
- Alternative Hypothesis (H1): Your friend can tell the difference between the name brand and generic peanut butter.
A type I error occurs when we reject the null hypothesis when it is actually true. In other words, we conclude that your friend can tell the difference between the two kinds of peanut butter when, in reality, she cannot.
So, the correct answer is: C) Type I error would be saying that your friend can tell the difference between the two kinds of peanut butter, when she really cannot.
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
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
The error of rejecting a true null hypothesis is ____.Group of answer choicesa Type I errora Type II erroreither type I and Type II error, depending on the situationcommitted when not enough information is available
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.
A type I error means that:1 point The null hypothesis is true, and you do not reject the null hypothesis. The null hypothesis is true, and you reject the null hypothesis. The null hypothesis is false, and you reject the null hypothesis. The null hypothesis is false and cannot reject the null hypothesis.
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