Question

a magazine provided results from a poll of adults who were asked to identify their favorite pie. among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. given specific sample​ data, which confidence interval is​ wider: the ​% confidence interval or the ​% confidence​ interval? why is it​ wider?

Answer 1

To be more certain that it captures the true value of the population proportion, a 95 % confidence interval must be larger than an 80 % confidence interval.

What is confidence interval?

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% chance of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval.

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