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A small community college claims that their average class size is equal to 35 students.This claim is being tested with a level of significance equal to 0.02 using the following sample of class sizes: 42,28,36,47,35,41,33,30,39,and 48.Assume class sizes are normally distributed.
-A Type II error is defined as:
A)rejecting a true alternative hypothesis.
B)rejecting a true null hypothesis.
C)failing to reject a false null hypothesis.
D)failing to reject a false alternative hypothesis.

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A Type II error occurs when we fail to reject a false null hypothesis, meaning we fail to detect a difference or effect that actually exists. In this case, a Type II error would occur if we fail to reject the null hypothesis that the average class size is 35 when, in reality, it is different from 35.

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