Hypothesis Testing Practice Questions
A researcher incorrectly decides to reject a null hypothesis that is actually true. The researcher has committed a: A) Type I Error B) Type II Error C) Type III Error D) all of the above
A
Researchers state an alpha level, thereby directly controlling for which type of error? A) Type I Error B) Type II Error C) Type III Error D) all of the above
A
The __________ hypothesis is a statement about a population parameter, such as the population mean, that is assumed to be true. A) null B) alternative C) true D) false
A
When a decision is to reject the null hypothesis, the result is: A) significant B) not significant
A
Which of the following will increase the power to detect an effect? A) increase the sample size B) increase the standard error C) decrease effect size D) all of the above
A
A researcher conducts a one-sample z-test at a .05 level of significance. If the rejection region is placed in both tails, then what are the critical values for this hypothesis test? A) 1.645 B) 1.96 C) 2.58 D) 3.30
B
A researcher incorrectly decides to retain a null hypothesis that is actually false. The researcher has committed a: A) Type I Error B) Type II Error C) Type III Error D) all of the above
B
A researcher selects two samples from the same population. Sample A is n = 20 and Sample B is n = 40. Which sample has greater power to detect an effect? A) Sample A B) Sample B C) none; the power will be the same in both samples
B
Which of the following will increase the power to detect an effect when it is decreased? A) sample size B) standard error C) effect size D) alpha level
B
A researcher computes a one-sample z-test. If the test is a nondirectional hypothesis test, then the critical value is placed in: A) the upper tail of the standard normal distribution B) the lower tail of the standard normal distribution C) both tails of the standard normal distribution D) no tails of the standard normal distribution
C
A researcher computes a test statistic and determines that the probability of obtaining a sample mean, given that the value stated in the null hypothesis is true, is .02. The .02 refers to what value? A) the value of the sample mean B) the value of the test statistic C) the p value D) the level of significance
C
A researcher obtains z = 1.68 using a one-sample z-test. What is the decision for the hypothesis test at a .05 level of significance? A) retain the null B) reject the null C) it depends on whether the test is one-tailed or two-tailed
C
A method for testing a claim or hypothesis about a parameter in a population, using data measured in a sample, is called: A) the central limit theorem B) hypothesis testing C) significance testing D) both b and c
D
A one-tailed tests should be used only when we can justify that an outcome can __________ occur in one direction. A) mostly B) probably C) rarely D) only
D
A researcher sets the following criterion: When the probability of obtaining a sample mean would be less than 5% if the null hypothesis were true, we reject the value stated in the null hypothesis. What is the 5% criterion called? A) the sample mean B) the test statistic C) the p value D) the level of significance
D
The level of significance for a hypothesis test is: A) the probability of incorrectly rejecting the null hypothesis B) the probability of committing a Type I error C) the alpha level D) all of the above
D
The power in hypothesis testing is: A) the probability of rejecting a false null hypothesis B) the probability of rejecting a null hypothesis that is not true C) the probability that a random selected sample will show that the null hypothesis is false when the null hypothesis is in fact false D) all of the above
D