- The null hypothesis is more likely to be rejected when incorrectly using the normal distribution instead of the t-distribution.
- For degrees of freedom less than 30, the tails of the curve are thicker for a t-distribution. Therefore, if you incorrectly use a standard normal sampling distribution, the area under the curve at the tails will be less than what it would be for the t-test, meaning the critical value(s) will lie closer to the mean.
\\(\boxed{\text{The null hypothesis is more likely to be rejected.}}\\)