Question

Can we determine whether the complex model is better based on the p value?

1) Yes, if the p value is less than the significance level
2) No, the p value only indicates the statistical significance
3) Cannot be determined based on the p value alone
4) It depends on other factors

Answer 1

The p-value alone cannot determine whether a complex model is better.

Step-by-step explanation:

The p-value is a statistical measure that tells us the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true. It is used to assess the evidence against the null hypothesis and to make a decision in hypothesis testing. However, the p-value alone cannot determine whether a complex model is better. The p-value only indicates the statistical significance, not the actual practical significance or the overall goodness of fit of the model. Therefore, the correct answer is option 3) Cannot be determined based on the p-value alone.