Statistics : Error

Study concepts, example questions & explanations for Statistics

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Example Questions

Example Question #1 : Error

Type I errors occur when a researcher incorrectly __________ the ___________ hypothesis; therefore, they erroneously accept the __________ hypothesis.  

Possible Answers:

rejects. . . alternative. . . null

rejects. . . null. . . alternative

accepts. . . null. . . alternative

accepts. . . alternative. . . null

None of these

Correct answer:

rejects. . . null. . . alternative

Explanation:

Type I errors are made when a researcher incorrectly rejects the null hypothesis and erroneously  accepts the alternative hypothesis. For example, a researcher may incorrectly conclude that two plant treatments are different by erroneously rejecting the null hypothesis. As a result they may assume that they have differing effects when they are—in fact— the same. 

Example Question #2 : Statistics

Type II errors occur when a researcher incorrectly __________ the ___________ hypothesis; therefore, they erroneously reject the __________ hypothesis.  

Possible Answers:

rejects. . . null. . . alternative

accepts. . . null. . . alternative

accepts. . . alternative. . . null

None of these

rejects. . . alternative. . . null

Correct answer:

accepts. . . null. . . alternative

Explanation:

Type II errors occur when we fail to reject a false null hypothesis. As a result, the researcher will incorrectly accept the null hypothesis and erroneously reject the alternative hypothesis. This commonly occurs when sample sizes are small. Larger sample sizes ensure that statistical measures will identify a practical difference when one truly exists. 

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