1.) A critical region describes low probability outcomes under a false null hypothesis.
True
False
2.) To maximize the likelihood of rejecting a null hypothesis, the test statistic should be composed of a large numerator and a small denominator.
True
False
3.) If the null hypothesis is true, then a sampling distribution composed of random samples drawn from a population will:
A. have the same variability as the population.
B. be more dispersed than the population.
C. always have a mean value that is different from the population mean.
D. be centered at the value provided by the null hypothesis.
4.) Given: Ho ≤ 10; standard error = 3.125
If the value of the test statistic equals: z = -2.00,
what conclusion should you make regarding the null hypothesis?
A. Fail to reject
B. Reject at alpha equals 5%, but fail to reject at alpha equals 1%
C. Reject at alpha equals 5%
D. Reject at alpha equals 2.5%
5.) Assuming that the null hypothesis is true, and holding alpha level constant (e.g., 5%), a one-tailed test will always result in a greater likelihood of rejecting the null hypothesis, relative to a two-tailed test.
True
False
6.) Two samples are drawn from a population. Both are used in separate, two-tailed hypothesis tests with alpha levels of 1%. The first sample generates a test statistic of z = +3. The second sample generates a test statistic of z = -2.9.
What is the correct conclusion regarding the status of the null hypothesis?
A. Only the first sample results in rejection of the null hypothesis.
B. The first sample results in rejection of the null hypothesis, whereas the second sample only results in null hypothesis rejection if the hypothesis test is converted to a one-tailed test.
C. The samples cancel each other out; thus, the null hypothesis is preserved.
D. Both samples result in rejection of the null hypothesis.