Answer to Question #168050 in Statistics and Probability for John

Question

TRUE OR FALSE

1. The researcher can only make one claim on either the null hypothesis or the alternative hypothesis in the traditional method of hypothesis testing.
2. If the sample value fall in the critical region, the alternative hypothesis is rejected.
3. Rejecting the null hypothesis will direct the researcher to state the alternative hypothesis.
4. If a sample mean is in the critical region with α = 0.05, it would still be in the critical region even if the alpha was changed to α = 0.01.
5. If a researcher obtains a test score of z = 2.5 for a hypothesis test using α = 0.01, then the researcher should reject the null hypothesis for a right-tailed test, however, the researcher should not reject the null hypothesis for a two-tailed test.
6. A confidence interval is a range of values used to estimate the true value of a sample statistic.

Answer 1

1. True
2. False, the null hypothesis is rejected
3. True
4. False, when the alpha decreases the sample mean can leave critical region
5. False
6. True