Question

A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean. How will these intervals differ? Group of answer choices The 90 percent confidence interval will be wider than the 95 percent confidence interval. Which interval is wider will depend on whether the sample is unbiased. Which interval is wider will depend on whether a z-statistic or a t-statistic is used. Which interval is wider will depend on how large the sample is. The 90 percent confidence interval will not be as wide as the 95 percent confidence interval.

Answer 1

90% confidence interval would be less than a 95% confidence interval.

Given,

A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean;

We have to find the difference between the intervals;

Here,

Confidence intervals are a range that depict the accuracy of the measurement. If a statistician chooses to use a 90% C I instead of a 95% C I, it informs you that you have a 10% probability of being incorrect as opposed to a 5% possibility when using the 95%.

That is, a 90% confidence interval would be less than a 95% confidence interval.

Learn more about confidence intervals here;

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