# Statistics Help

**Purpose:**What was the purpose of your analysis, and what is your approach?- Define a random sample and two hypotheses (means) to analyze.

**Sample:**Define your sample. Take a random sample of 100 observations for your region.- Describe what is included in your sample (i.e., states, region, years or months).

**Questions and type of test:**For your selected sample, define two hypothesis questions and the appropriate type of test hypothesis for each. Address the following*for each hypothesis*:- Describe the population parameter for the variable you are analyzing.
- Describe your hypothesis in your own words.
- Describe the inference test you will use.
- Identify the test statistic.

**Level of confidence:**Discuss how you will use estimation and conference intervals to help you solve the problem.

**1-Tail Test**

**Hypothesis:**Define your hypothesis.- Define the population parameter.
- Write null (Ho) and alternative (Ha) hypotheses.
- Specify your significance level.

**Data analysis:**Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.- Summarize your sample data using appropriate graphical displays and summary statistics.
- Provide at least one histogram of your sample data.
- In a table, provide summary statistics including sample size, mean, median, and standard deviation.
- Summarize your sample data, describing the center, spread, and shape in comparison to the national information.

- Check the conditions.
- Determine if the normal condition has been met.
- Determine if there are any other conditions that you should check and whether they have been met.

- Summarize your sample data using appropriate graphical displays and summary statistics.
**Hypothesis test calculations:**Complete hypothesis test calculations, providing the appropriate statistics and graphs.- Calculate the hypothesis statistics.
- Determine the appropriate test statistic (
*t*). - Calculate the probability (
*p*value).

- Determine the appropriate test statistic (

- Calculate the hypothesis statistics.
**Interpretation:**Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.- Relate the
*p*value and significance level. - Make the correct decision (reject or fail to reject).
- Provide a conclusion in the context of your hypothesis.

- Relate the

**2-Tail Test**

**Hypotheses:**Define your hypothesis.- Define the population parameter.
- Write null and alternative hypotheses.
- State your significance level.

**Data analysis:**Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.- Summarize your sample data using appropriate graphical displays and summary statistics.
- Provide at least one histogram of your sample data.
- In a table, provide summary statistics including sample size, mean, median, and standard deviation.
- Summarize your sample data, describing the center, spread, and shape in comparison to the national information.

- Check the assumptions.
- Determine if the normal condition has been met.
- Determine if there are any other conditions that should be checked on and whether they have been met.

- Summarize your sample data using appropriate graphical displays and summary statistics.
**Hypothesis test calculations:**Complete hypothesis test calculations, providing the appropriate statistics and graphs.- Calculate the hypothesis statistics.
- Determine the appropriate test statistic (
*t*). - Determine the probability (
*p*value).

- Determine the appropriate test statistic (

- Calculate the hypothesis statistics.
**Interpretation:**Interpret your hypothesis test results using the*p*value method to reject or not reject the null hypothesis.- Relate the
*p*value and significance level. - Make the correct decision (reject or fail to reject).
- Provide a conclusion in the context of your hypothesis.

- Relate the
**Comparison of the test results:**See Question 3 from the Scenario section.- Calculate a 95% confidence interval. Show or describe your method of calculation.
- Interpret a 95% confidence interval.

**Final Conclusions**

**Summarize your findings:**Refer back to the Introduction section above and summarize your findings of the sample you selected.**Discuss:**Discuss whether you were surprised by the findings. Why or why not?