Question

For these data, $\chi 2=69.8$with a P-value of approximately $0$. Assuming that the researchers used a significance level of $0.05$, which of the following is true?

a. A Type I error is possible.

b. A Type II error is possible.

c. Both a Type I and a Type II error are possible.

d. There is no chance of making a Type I or Type II error because the P-value is approximately $0$.

e. There is no chance of making a Type I or Type II error because the calculations are correct.

Short answer

Option a) is correct that is Type I error is possible.

Step-by-step solution

Given Information

We have to identify correct answer for the given data, $X^2=69.8$with a P− value of approximately $0$. Assuming the researchers used a significance level of$0.05$ .

Simplification

When $X^2=69.8$with a P value of nearly $0$is presented as data, the correct answer is Type I mistake.

Assume that the researchers chose a $0.05$significance threshold.

Thus, Option a) is correct.