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When calculating the confidence interval, should the t or z method be used? It seems like...

When calculating the confidence interval, should the t or z method be used? It seems like it would be the t method to me because there is no given population standard deviation but I'm not sure. In the case that it is t method would it be two-sided?

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Answer #1

Yes, When the population standard deviation is not known (that is not given) then have to use t-method that is t interval and the confidence interval is two sided so it does not matter.

And when the population standard deviation is known then have to use z method that is z confidence interval.

These above criteria are for finding the confidence interval for the population mean.

And suppose we need to find the confidence interval for population proportion then have to use z method that is z interval.

The above criteria are for the confidence interval, the same criteria are used in hypothesis testing.

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