A researcher wants to avoid making a type I error. Which of the following actions would be the most effective in reducing the risk of a type I error? Choose an alpha level of 0.01. Choose an alpha level of 0.05. Increase the sample size.
Question
A researcher wants to avoid making a type I error. Which of the following actions would be the most effective in reducing the risk of a type I error? Choose an alpha level of 0.01. Choose an alpha level of 0.05. Increase the sample size.
Solution
The most effective action to reduce the risk of a Type I error would be to choose an alpha level of 0.01.
Here's why:
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A Type I error occurs when you reject the null hypothesis when it is actually true. This is also known as a "false positive".
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The alpha level (also known as the significance level) is the probability of rejecting the null hypothesis when it is true. In other words, it's the probability of making a Type I error.
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By choosing a lower alpha level, such as 0.01 instead of 0.05, you are making the criteria for rejecting the null hypothesis more stringent. This means that you are less likely to reject the null hypothesis when it is true, thereby reducing the risk of a Type I error.
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Increasing the sample size can also help reduce the risk of a Type I error, but it is not as direct or effective a method as reducing the alpha level. A larger sample size can increase the power of a test (the probability of correctly rejecting a false null hypothesis), but it doesn't directly affect the probability of a Type I error, which is what the alpha level does.
Similar Questions
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