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 choicesFail to reject the null hypothesis with either α = .05 or α = .01.Reject 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.
Question
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 choicesFail to reject the null hypothesis with either α = .05 or α = .01.Reject 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.
Solution
To answer this question, we need to compare the z-score to the critical z-scores for the given alpha levels.
For a one-tailed test:
- At α = .05, the critical z-score is 1.645.
- At α = .01, the critical z-score is 2.33.
Given that the z-score from the study is 2.37, which is greater than both of these critical values, the correct decision would be to reject the null hypothesis with either α = .05 or α = .01.
Similar Questions
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 change α.The researcher should reject the null hypothesis with either α = .05 or α = .01.The researcher should reject the null hypothesis with α = .05 but not with α = .01.
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.
A two-tailed test is conducted at the 5% significance level. Which of the following z-scores would lead to the rejection of the null hypothesis?Question 4Answera.1.67b.-2.06c.1.85d.-1.71
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 > 2.58z > 2.33z < 2.33
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
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.