Question

a large p-value implies: a. rejection of the null hypothesis. b. a large γᵃᶜᵗ. c. a large t-statistic. d. that the observed value γᵃᶜᵗ is consistent with the null hypothesis.

Answer 1

A large p-value implies that the observed value is consistent with the null hypothesis.

Step-by-step explanation:

A large p-value implies that the observed value is consistent with the null hypothesis.

When conducting hypothesis testing, the p-value represents the probability of observing a test statistic as extreme as the one obtained if the null hypothesis is true. If the p-value is large, it means that the observed value is not statistically significant and is likely to have occurred by chance alone, given the null hypothesis.

In this context, options a, b, and c are incorrect because they suggest rejection of the null hypothesis, which is not supported by a large p-value.