Question: Select a qualitative variable with two possible categories for which you have some knowledge and anticipate that the proportion for the category with smaller likelihood is at least 10%. You will need to be able to obtain at least 100 sample observations.

1. Provide an operational definition for the two categories.
2. Based on your knowledge of this variable record your best guess for the value of the proportion in each of the two categories (If each value is not between 10% and 90% then select another variable. The value of each best guess is to be determined without examining the data values you will use for this assignment.
3. Tell how the data were obtained. If you did not collect the data yourself then give the source from which you obtained the data and briefly tell, as best as you can, how the data were originally obtained. In a frequency table give the number of observations for each of the two categories and the sample proportion for each category.
4. Did the data come from a process or population?
5. Create a pie chart for the data using proportions or percentages. Select the category for which the observed proportion exceeds your estimate for it and label it as A for part f below.
6. Using the binomial distribution with =(your estimated proportion for category A), find the probability of observing at least as many as the number you observed for category A. .
7. Find the 90% confidence interval for the phenomenon proportion for each of the two categories. (Section 6.4.1 on page 260 of Canavos text)
8. For each category write the appropriate null and alternate hypotheses to test to determine if the phenomenon proportion is different from your guessed value.
9. Tell whether you think the following statement is true or not and give a reason for your answer. Since an alpha level of .10 was used to perform the above test you can safely say that you are 90% sure that you have reached the correct conclusion.

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