APFIVE Probability of a Type II Error
A researcher tests $$H_0:\, \mu = 50$$ against $$H_a:\, \mu > 50$$ with $$\alpha = 0.05$$. If the true population mean is 53 and the population standard deviation is 10, what is the probability of a Type II error ($$\beta$$) when using a sample size of 25?
A
0.7257
B
0.5576
C
0.0500
D
0.2743
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