Exercise

# How do the theoretical results play a role?

Instead of simulating a null distribution (using permutations), the t-distribution can be used to calculate p-values and confidence intervals. The theoretical result provides a t-distribution fit for the sampling distribution of the standardized slope statistic. Why does it matter if the sampling distribution is accurate?

Instructions

**50 XP**

##### Possible Answers

- If the distribution is wrong, the software will not compute a p-value.
- If the distribution is wrong, the p-value will not represent the probability of the data given the null hypothesis is true.
- If the distribution is wrong, the CI procedure will not capture the true parameter in 95% of samples.
- All of the above.
- Some of the above.