Problem

If the consequences of making a Type I error are severe, would you choose the level of significance, $\alpha$, to equal $0.01,0.05$, or 0.10 ? Choose the correct answer below. A. $0: 10$ B. 0.05 C. 0.01

Solution

Step 1 :If the consequences of making a Type I error are severe, we would want to minimize the probability of making such an error. This is done by choosing a smaller level of significance, \(\alpha\). The level of significance is the probability of rejecting the null hypothesis when it is true, which is a Type I error. Therefore, we would choose \(\alpha = 0.01\) to minimize the probability of a Type I error.

Step 2 :Final Answer: \(\boxed{0.01}\)

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Source: https://solvelyapp.com/problems/20004/

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