Question

1) A researcher wishes to perform a hypothesis test in order to determine whether there is evidence that the mean family income in the U.S. is different from $30,000. The rejection region of the corresponding hypothesis test will be: (Circle one)

a) Located in the right tail of the sampling distribution

b) Located in the left tail of the sampling distribution

c) Located in both the left and right tails of the sampling distribution

d) Centered around the mean of the sampling distribution

2)  The power of a statistical test is the probability of rejecting the null hypothesis when it is _______. Also, when you reduce Type-II error probability, the power of the test will _______. (Circle one)
a) False/Increase

b) True/Increase

c) False/Decrease

d) True/Decrease

Answer 1

1)

Here the  researcher wishes to perform a hypothesis test in order to determine whether there is evidence that the mean family income in the U.S. is different from $30,000.So the

null hypothesis

Alternate hypothesis

The rejection region of the corresponding hypothesis test will be: c) Located in both the left and right tails of the sampling distribution

2)

The power of a statistical test is the probability of rejecting the null hypothesis when it is __false_____. Also, when you reduce Type-II error probability, the power of the test will __Increase___