10. Imagine you\'re a researcher and you need to perform a two-sided test of an

Question

10. Imagine you're a researcher and you need to perform a two-sided test of an alternative hypothesis. You decide to conduct a significance test at the .05 level. The statistician in the next cubicle says you should use a 95% confidence interval for this hypothesis instead. Which of the following should you do?

A. You should take the statistician's advice because a confidence interval is more accurate than a significance test.

B. You should not take the statistician’s advice. Hypothesis testing relates to a single conclusion, while a confidence interval provides a range of plausible values for your population.

C. You should take the statistician’s advice because a confidence interval takes longer than a significance test.

D. You should not take the statistician’s advice. A one-sided significance test at the .05 level is equivalent to a 90% confidence interval.

E. None of the above.

I thought it's E since the significance test is virtually the same thing as making a confidence interval, but some people say that the answer is B. If that's true, I don't understand why it should be B....

Explanation / Answer

Solution:-

B. You should not take the statistician’s advice. Hypothesis testing relates to a single conclusion, while a confidence interval provides a range of plausible values for your population.

Although If exact p-value is reported, then the relationship between confidence intervals and hypothesis testing is very close.

The objective of the two methods is different:

Hypothesis testing relates to a single conclusion of statistical significance vs. no statistical significance.

Confidence intervals provide a range of plausible values for your population.

In confidence interval you have to look whether your claim lies in the the confidence interval, however, significance test specifically ment for our claim.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.