A researcher is conducting an experiment to evaluate a treatment that is expected to increase the scores for individuals in a population. If the researcher uses a one-tailed test with a = .01, then which of the following correctly identifies the critical region?Group of answer choicesz > 2.58z < 2.33z > 2.33z < 2.58
Question
A researcher is conducting an experiment to evaluate a treatment that is expected to increase the scores for individuals in a population. If the researcher uses a one-tailed test with a = .01, then which of the following correctly identifies the critical region?Group of answer choicesz > 2.58z < 2.33z > 2.33z < 2.58
Solution
The correct answer is z > 2.33.
Here's why:
A one-tailed test is used when the research hypothesis predicts a direction of the effect — in this case, that the treatment will increase scores. Therefore, we are interested in the upper tail of the distribution.
The alpha level (a) is .01, which means the critical region is the top 1% of the distribution.
For a one-tailed test at the .01 level, the critical value of z is 2.33. This means that any z-score greater than 2.33 falls in the critical region.
So, the correct identification of the critical region is z > 2.33.
Similar Questions
A researcher conducts a hypothesis test to evaluate the effect of a treatment that is expected to increase scores. The hypothesis test produces a z-score of z = 2.37. If the researcher is using a one-tailed test, what is the correct statistical decision?Group of answer choicesReject the null hypothesis with α = .05 but not with α = .01.This cannot be answered without additional information.Reject the null hypothesis with either α = .05 or α = .01.Fail to reject the null hypothesis with either α = .05 or α = .01.
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = +1.85. Based on this result, what is the correct statistical decision?Group of answer choicesThe researcher should fail to reject H0 with either α = .05 or α = .01.The researcher should reject the null hypothesis with α = .05 but not with α = .01.The researcher should reject the null hypothesis with either α = .05 or α = .01.The researcher should change α.
The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z = 1.90, then what is the correct statistical decision?Group of answer choicesFail to reject H1Reject H1Fail to reject H0Reject H0
A two-tailed hypothesis test is being used to evaluate a treatment effect with α = .05. If the sample data produce a z-score of z = 2.24, then what is the correct decision?Group of answer choicesFail to reject the null hypothesis and conclude that the treatment has an effect.Fail to reject the null hypothesis and conclude that the treatment has no effect.Reject the null hypothesis and conclude that the treatment has no effect.Reject the null hypothesis and conclude that the treatment has an effect.
If the sample that is being tested falls into the one-sided critical area, the _____ will be accepted instead of the null hypothesis
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.