1. The null hypothesis always includes a:
A) sample mean.
B) statement of equality: (=), (≤), or (≥).
C) statement of less than (<).
D) statement of greater than (>).
2. Which of the following statements is true about the alternate hypothesis?
A) It is accepted if the null hypothesis is rejected.
B) It will always contain the equal sign.
C) It is rejected if the null hypothesis is true.
D) It is accepted if the null hypothesis is accepted.
3. Which of the following statements is true about the level of significance?
A) It is a probability.
B) It can be any value between 0 and 1.
C) It is the likelihood of rejecting the null hypothesis when it is true.
D) All of the above.
4. A Type I error is:
A) calculated from sample information.
B) a probability determined from the test statistic.
C) the probability of rejecting the null hypothesis when it is true.
D) the probability of accepting the null hypothesis when it is false.
5. The critical value is:
A) calculated from sample information.
B) is always positive.
C) the point that divides the acceptance region from the rejection region.
D) a probability determined from the test statistic.
6. In a one-tailed test, the:
A) rejection region is in only one of the tails of a distribution.
B) rejection region is split between the tails of a distribution.
C) p-value is always less than the significance level.
D) p-value is always more than the significance level.
7. To conduct a one sample test of means and use the z distribution as the test statistic, we need to know the:
A) population mean.
B) population standard deviation.
C) degrees of freedom.
D) margin of error.
8. A p-value is the:
A) same as the population proportion.
B) same as the significance level.
C) fraction of the population that has a particular characteristic.
D) probability of finding a value equal or more extreme (greater than or less than) than the test statistic assuming the null hypothesis is true.
9. A Type II error occurs when we:
A) accept the null hypothesis when it is false.
B) reject the alternate hypothesis when it is true.
C) reject the null hypothesis when it is false.
D) accept the null hypothesis when it is true.
10. Which of the following statements are correct when deciding whether to use the z or the t distribution?
A) Use z when the sample standard deviation is more than 30.
B) Use z when we have a normal population and we know the standard deviation.
C) Use t when the population is normal and the population standard deviation is known.
D) Use t when the population follows the uniform distribution.
11. For H0: µ = 10, α = 0.05, using a z-statistic, and x- = 12, σ = 4, n = 16, what decision is made regarding the null hypothesis?
A) The null hypothesis is accepted.
B) Fail to reject the null hypothesis.
C) Reject the null hypothesis.
D) Reject the alternative hypothesis.
12. For H0: µ = 10, α = 0.05, using a t-statistic, and x- = 12, σ = 4, n = 16, what decision is made regarding the null hypothesis?
A) The null hypothesis is accepted.
B) Fail to reject the null hypothesis.
C) Reject the null hypothesis.
D) Reject the alternative hypothesis.
13. In a hypothesis test, the p-value is 0.001. The stated significance level is 0.05. What is the decision regarding the null hypothesis?
A) Reject the null hypothesis.
B) Reject the alternate hypothesis.
C) Accept the null hypothesis.
D) No decision.