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Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed.Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Choose a 0.01 significance level instead of a 0.05 significance level. Increase the sample size.

Question

Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed.Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Choose a 0.01 significance level instead of a 0.05 significance level. Increase the sample size.

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Solution 1

In order to reduce the risk of committing a Type I error, researchers could indeed choose a lower significance level, such as 0.01 instead of 0.05. A lower significance level means that the criteria for rejecting the null hypothesis is more stringent, thus reducing the likelihood of incorrectly rejecting a true null hypothesis (Type I error).

Increasing the sample size can also help to reduce the risk of this error. A larger sample size increases the power of the test, which is the probability that the test correctly rejects the null hypothesis when the alternative hypothesis is true. This means that with a larger sample size, the test is more likely to detect a true effect if one exists, and less likely to reject the null hypothesis when it is true.

However, it's important to note that while these strategies can reduce the risk of a Type I error, they can increase the risk of a Type II error, which is failing to reject a false null hypothesis. Therefore, researchers need to consider the trade-offs and decide on an appropriate balance based on the specific context of their study.

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Solution 2

To reduce the risk of committing a Type I error, researchers could indeed choose a lower significance level, such as 0.01 instead of 0.05. A lower significance level means that the threshold for rejecting the null hypothesis is more stringent, which reduces the likelihood of incorrectly rejecting a true null hypothesis (Type I error).

Increasing the sample size can also help to reduce the risk of this error. A larger sample size increases the power of the test, which is the probability that the test correctly rejects the null hypothesis when the alternative hypothesis is true. This means that with a larger sample size, the test is more likely to detect a true effect if one exists, reducing the likelihood of a Type I error.

However, it's important to note that increasing the sample size or decreasing the significance level can increase the risk of a Type II error, which is failing to reject a false null hypothesis. Therefore, researchers need to balance these risks depending on the context and consequences of the potential errors.

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