Confidence interval and significance testing (3)

So in the last exercise we saw that our confidence interval did not contain our population parameter. By checking whether the confidence interval contains our population mean, we are essentially doing the same as testing a hypothesis. For instance, we started out with assuming the population mean of the height of Dutch males is 185 centimers. This could be our null hypothesis. Our alternative hypothesis could be the fact that the Dutch male height is different from 185 centimeters. Considering the confidence interval of 185.07 and 187.93 and a population mean of 185, would you reject the null hypothesis?

Possible Answers

Yes, you would reject the null hypothesis because the confidence interval contains that population mean.
Yes, you would reject the null hypothesis because the confidence interval does not contain the population mean
No, you would fail to reject the null hypothesis because the confidence interval does not contain the population mean.

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Confidence interval and significance testing (3)

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