True or False: By increasing the level of confidence in a confidence interval, and you hold the sample size fixed, the confidence interval will be wider.

1 answer

True. By increasing the level of confidence in a confidence interval while holding the sample size fixed, the confidence interval will indeed be wider. This is because a higher confidence level corresponds to a larger critical value (for example, from the normal distribution), which expands the margin of error and results in a wider interval to ensure that it contains the true population parameter with the desired level of confidence.