AP Statistics: Hypothesis Testing Project Project Overview With this project you must demonstrate your statistical knowledge of hypothesis testing. Your project must be based on one of the following hypothesis tests: 1. Chi-Square 2. Regression Analysis 3. One or Two Sample Mean 4. One or Two Sample Proportion You must gather your own data, which will allow you to do inferences using one of the models listed above. You must create an original study, which does not have an obvious conclusion before the study is performed. Originality and complexity will be factors in your grade. Experimental Design Requirements You must collect data in order to answer a question, which you create for a sample you define, with hopes of extending your conclusion to a population that you determine. The data must be collected in a manner that fulfills the assumptions of the required test. The experimental design may be an observational study, a controlled experiment, or a survey. If data is collected from human subjects, privacy must be maintained at all times. If data is collected about human subjects without their knowledge, you must first have your procedures approved by your teacher. Descriptive Statistics Any descriptive statistics relevant to your project should be included. At least two graphs (such as a boxplot, scatter plot, stem-and-leaf, histogram, etc.) should be included as part of your project. The graphs may be used to summarize descriptive statistics. Hypothesis Test The type of test should be identified. Include an explanation of why this type of test was chosen. Your project should include that is meets the assumptions of the particular test. This may include a graph. The hypotheses should be stated in words in addition to being stated symbolically. The formula should be written with symbols and then with the substitution of the appropriate numbers. You may use your graphing calculator to perform calculations. 1 Format and Style The report should have the following attributes: It should be typed using a word processor. (Please see me if you feel this is a hardship.) Symbols and equations may be inserted by hand. Note that some word processors can easily create most symbols. It should have a cover page and be stapled or bound in an appropriate manner. Graphs should be created on a computer or in ink. All graphs should be titled and have properly labeled axes. The Report The report should have each of the following sections in the order given: 1. The Abstract This is a one-page overview of the study, covering all the important details. This page should summarize the crucial points of the study from the beginning to the conclusion. 2. The Study A. The Question: A description in every day English of the question you are trying to answer. B. Sampling: A careful description of how you obtained the samples. Be very specific. Include sample sizes, population of interest, and description of sample. Also include a copy of the survey if you used one. C. Data: The actual pages you used to record the data and a summary of the counts. This does NOT have to be typed. D. Relevant Descriptive Statistics and Graphs. E. Significance Test: The test should be done using AP Standards. AP Standards include a statement of the type of test and an explanation for the use of that test, as well as a check of the appropriate assumptions. Also include your hypotheses stated in words and symbols, test statistic, and p-value. Your formula with symbols, then with substituted numerical values, then the evaluation as a number should be provided. Also include a normal or chisquare diagram to illustrate your test statistic and p-value. Do not write conclusions until part 4. 3. Discussion A. Weaknesses of your study. Include any confounding variables. B. Extrapolate. What population do you feel comfortable extrapolating your results to? Explain why. C. Suggestions for further work in the area of your topic. 4. Conclusion Include the meaning of p-value and amount of evidence. Be sure to reference the situation as you discuss your conclusion. Explain what led you to the conclusion(s) that you have drawn. 2 Manipulation of Data Do not alter your experiment or the data you collect to fit some notion of correct data. Remember the study of statistics depends on variability. Working With Others You may work by yourself, with one other student, or with 2 other students. If you choose to work with a partner(s), make sure that the project is involved enough for two or three people. You will submit one report for the group; however, each student must have a part in the class presentation. Due Date The project is due at the start of class on Wednesday May 27th. This project is worth 100 points. Late projects will receive a 10-point deduction for every day late. I will be checking your progress frequently. You must have topic ideas by Monday May 11th. Class presentations will be given to summarize the project. They will be approximately 10minutes in length and will begin on June 1st. The class presentation and visual component will be worth 35 points. 3 AP Statistics: Final Project Name: ____________________________________________ Date: ________________ 1. The Abstract (5 points) ____________ Provides a good overview of the experiment. Discusses experiment from beginning to end. 2. The Study Question (5 points) ____________ Question is clearly stated. Sampling (8 points) ____________ Sample is either an observational study, experiment, or survey. Sampling methods are described in detail. Population and sample are described. Survey included if used. Sampling is done randomly. Data (5 points) ____________ Data is included. Relevant Descriptive Statistics and Graphs (8 pts) ____________ At least two graphs are part of the project. Descriptive Statistics are included. Graphs are done in ink or with a computer. Significance Test (20 points) ____________ Explanation of type of test. Accurate choice for test. Assumptions are checked and met. Hypotheses stated in words and symbols. Formula written in symbols and then with the numbers. Test statistic and p-value is included and accurate. Normal or Chi-square diagram is included and accurate. 4 3. Discussion Weaknesses of study (6 points) ____________ Any weaknesses are noted. Accurate portrayal of weaknesses. Extrapolate (5 points) ____________ Good choice of population to use for extrapolation. Reasons given for choice of population. Suggestions for further work (5 points) ____________ Reasonable suggestions for further study in the area. 4. Conclusion (10 points) ____________ Clear conclusion is drawn. Reasoning behind conclusion is identified. Accurate interpretation of results. 5. Overall appearance (13 points) ____________ Cover Page (2 points) Neatness and in proper order. (4 points) Typed (2 points) Paper includes proper grammar and does not contain spelling mistakes. (5 points) 6. Originality and Complexity (10 points) ____________ Creative and original topic was chosen. Complexity is appropriate for number of individuals. OVERALL GRADE 100 5 AP Statistics: Final Project Class Presentation Name(s): ___________________________________ Date: ____________ _________________________________ _________________________________ TOPIC: ___________________________________________________________________________ ORGANIZATION & INFORMATION (10 points) ____________ Information is accurate. (3) Appropriate test was chosen. (3) Project is described from beginning to end. (4) CLASS PRESENTATION (15 points) ____________ Presentation is easy to follow. (4) Knowledge of topic is evident. (4) Partners share workload evenly. (4) Presentation was appropriate length. (3) VISUAL PRODUCT (10 points) ____________ Visual provides a good overview of the project. (4) Information on visual is accurate. (3) Visual is neat and easy to read. (3) FINAL GRADE 35 6