In this project, your team will formulate a statistical question, design a study to answer the question,
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In this project, your team will formulate a statistical question, design a study to answer the question, conduct the study, collect the data, analyze the data, and use statistical inference to answer the question. You may do your study on any topic, but you must be able to include the six steps listed above.
1. Write a proposal describing the design of your study. Make sure to include the following:
- Describe the statistical question you are trying to answer.
- List the explanatory and response variables (or just the response variable when appropriate).
- State the null and alternative hypothesis you will be testing, along with the name of the test you will use to analyze the results.
- Describe how you will collect the data, so the conditions for inference will be satisfied.
- Explain how your study will be safe and ethical if you are using human subjects.
2. Once your teacher has approved your proposal, carry out the study.
3. Create a poster to summarize your project. Make sure to include the following:
- Title (in the form of a question).
- Introduction. The introduction should discuss what question you are trying to answer, why you chose this topic, what your hypotheses are, and how you will analyze your data.
- Data Collection. In this section, you will describe how you obtained your data. Be specific.
- Graphs and Summary Statistics, Including Raw Data. Begin by providing the raw data. If the data are quantitative, list them in a table. If the data are categorical, summarize them in a two way table. Then make graphs that are well labeled and easy to compare, and list appropriate summary statistics. Use the graphs and summary statistics to describe the evidence for the alternative hypothesis.
- Analysis and Conclusion. Identify the inference procedure you used and discuss the conditions for inference. Give the (standardized) test statistic and P -value (with interpretation), along with the appropriate conclusion. Then provide the corresponding confidence interval (with interpretation) or follow-up analysis (for chi-square tests).
- Reflections. In this section, you should also discuss any possible errors (e.g., Type I or Type II), limitations to your conclusion, what you could do to improve the study the next time, and any other critical reflections.
- The key to a good statistical poster is communication and organization. Make sure all components of the poster are focused on answering the question of interest and that statistical vocabulary is used correctly. Include live action pictures of your data collection in progress.
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