What are Type 1 and Type 2 Errors in Statistics?
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What are Type 1 and Type 2 Errors in Statistics?
A Type I error occurs when a true null hypothesis is incorrectly rejected (false positive). A Type II error happens when a false null hypothesis isn't rejected (false negative). The former implies acting on a false alarm, while the latter means missing a genuine effect. Both errors have significant implications in research and decision-making.
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SOLVED:Suppose that for a particular hypothesis test, the consequences of a Type I error are very serious. Would you want to carry out the test using a small significance level α(such as 0.01 ) or a larger significance level (such as 0.10) ? Explain the reason for your choice. (Hint: See discussion just before Example 10.7 .)
SOLVED:Suppose that for a particular hypothesis test, the consequences of a Type I error are very serious. Would you want to carry out the test using a small significance level α(such as 0.01 ) or a larger significance level (such as 0.10) ? Explain the reason for your choice. (Hint: See discussion just before Example 10.7 .)
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