Final answer:
Hypothesis testing consists of setting up two contradictory hypotheses, collecting sample data, determining the correct distribution, analyzing the data, making a decision, and writing a conclusion. For constructing 6 confidence intervals, you would need to go through these steps 6 times. The choice between one-tail or two-tail tests depends on the specific research question and the alternative hypothesis.
Step-by-step explanation:
Hypothesis testing consists of two contradictory hypotheses or statements, a decision based on the data, and a conclusion. To perform a hypothesis test, a statistician will do the following:
- Set up two contradictory hypotheses.
- Collect sample data. In homework problems, the data or summary statistics will be given to you.
- Determine the correct distribution to perform the hypothesis test.
- Analyze sample data by performing the calculations that ultimately will allow you to reject or decline to reject the null hypothesis.
- Make a decision and write a meaningful conclusion.
For constructing 6 confidence intervals, you would need to have 6 different samples and perform each of the steps mentioned above for each confidence interval. Regarding the setup of hypothesis tests, the choice between one-tail or two-tail tests depends on the specific research question and the alternative hypothesis. If the alternative hypothesis suggests a direction, a one-tail test is appropriate. If there is no specific direction suggested, a two-tail test should be used.