Question

Explain what precision and confidence are and how they influence sample size.

Answer 1

Answer:

The confidence interval represents the precision with which we are able to report the effect size, and the larger the sample, the more precise the estimate. As a practical matter, sample size is often the dominant factor in determining the precision.

Explanation:

As the sample size gets larger (from black to blue), the Type I error (from the red shade to the pink shade) gets smaller. For one-tail hypothesis testing, when Type I error decreases, the confidence level (1-α) increases. Thus, the sample size and confidence level are also positively correlated with each other.