True or False: The more confident you want to be, the smaller your confidence interval will be.
Question
True or False: The more confident you want to be, the smaller your confidence interval will be.
Solution
True. A confidence interval is a range of values, derived from a statistical model, that is likely to contain the value of an unknown parameter. In general, the more confident you want to be that the true value lies within the interval, the wider the confidence interval will need to be. Conversely, if you are willing to accept a lower level of confidence, you can have a narrower confidence interval. So, the statement is false.
Similar Questions
What happens to confidence intervals when you increase the level of confidence (or equivalently decrease the level of significance)?Select all that applyGroup of answer choicesConfidence intervals get narrowerConfidence intervals get widerWe are more confident that the true population mean is inside the intervalsWe are less confident that the true population mean is inside the intervals
True or false? The confidence threshold sets a bar for the quality of predictions to return.TrueFalse
Lowering the Confidence Level will have what effect on the Confidence Interval?Group of answer choicesConfidence Interval will be unchangedConfidence Interval will get smallerConfidence interval will be less likely to be wrongConfidence Interval will get larger
The larger the level of confidence, C, the ______ the confidence interval.smallerlargerNone of the above.
Which statement regarding confidence intervals is TRUE?Group of answer choicesA 95% confidence interval produced from different data to a 99% confidence interval will likely be narrower.A 95% confidence interval produced from the same data as a 99% confidence interval will likely be wider.A 95% confidence interval produced from the same data as a 99% confidence interval will likely be narrower.A specific 95% confidence interval is the probability that a population parameter of interest falls within a specified range.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.