Statistics : Error
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Example Question #1 : Error
Type I errors occur when a researcher incorrectly __________ the ___________ hypothesis; therefore, they erroneously accept the __________ hypothesis.
accepts. . . alternative. . . null
accepts. . . null. . . alternative
None of these
rejects. . . alternative. . . null
rejects. . . null. . . alternative
rejects. . . null. . . alternative
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 : Error
Type II errors occur when a researcher incorrectly __________ the ___________ hypothesis; therefore, they erroneously reject the __________ hypothesis.
None of these
rejects. . . null. . . alternative
rejects. . . alternative. . . null
accepts. . . alternative. . . null
accepts. . . null. . . alternative
accepts. . . null. . . alternative
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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