Test Hypotheses About a Population Proportion
-It Is Desired to Test

Multiple Choice

Test Hypotheses about a Population Proportion
-It is desired to test $\mathrm { H } _ { 0 } : \mu = 45$ against $\mathrm { H } _ { 1 } : \mu < 45$ using $\alpha = 0.10$ . The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If $\mu$ is really equal to 40 , what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

A) $0.1469$
B) $0.8531$
C) $0.3531$
D) $0.2938$