Hypothesis Testing: Dichotomous Variables
DIRECTIONS: Be sure to show the necessary calculations to back up your answers and show all work neatly. Attach Minitab output where appropriate and mark it up to clearly indicate that you understand how to use the output to help you make the relevant decisions. More specifically, indicate which numbers are important in the output, what you do with them, and whether it agrees with your hand calculations (if they were required).
Definition/Essay (6 points each)
(I encourage you to give a long winded enough explanation to make it clear that you understand the concepts involved.)
- Explain what the alpha level is.
- Why do we never "accept" the null or alternative hypotheses?
- What two important things does a sampling distribution tell us?
- Describe in your own words each of the types of distributions we have talked about this semester, that is, the population, sample, and sampling distributions. Use one example to illustrate all three types.
Multiple Choice (5 points each)
- Which of the following statements is TRUE?
a. The null hypothesis specifies hypothesized values for the sample statistics.
b. The alternative hypothesis specifies exact values for the population parameters.
c. The null hypothesis may be directional.
d. The null and alternative hypotheses are mutually exclusive.
- If you toss a coin 5 times, how many different possible outcomes can occur?
Problems (Note that when using Minitab to do these, it is a lot easier to use the cumulative density function).
- There are two parts:
- You determine that among the 9 people taking Basket Weaving (BW422 here at UWSP), 7 were Pro-Life and 2 were Pro-Choice. Using Pascal's triangle, determine if significantly more people were Pro-Life. Then use Minitab to check your work. (18 points)
- Now assume that 70 people were Pro-Life and 20 were Pro-Choice. Use Minitab to determine if significantly more people were Pro-Life. (15 points)
- There are two parts:
- Consider a presidential election. In a sample of a dozen people, 8 voted for Candidate A (put name here) and 4 for Candidate B (put name here). Using Pascal's triangle, determine if there is a significant difference in opinion on which person should be our next president. Then use Minitab to check your work. (18 points)
- Now assume that 80 people voted for Candidate A and 40 for Candidate B. Use Minitab to determine if there is a significant difference in opinion on which man should be our next president. (15 points)
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