Climbing out of debt, step by step, an article in the April 29, 2005, USA Today, reported
Question:
a. Suppose we purchase a 16-oz bag of Skittles, count the colors, and observe exactly the same proportion of colors as found in Exercise 11. 16:
Calculate the value of chi-square for these data. How is the new chi-square value related to the one found in Exercise 11. 16? What effect does this new value have on the test results? Explain.
b. To continue this demonstration/exploration, suppose we purchase a 48-oz bag, count the colors, and observe exactly the same proportion of colors as found in Exercise 11. 16 and part a of this exercise.
Calculate the value of chi-square for these data. How is the new chi-square value related to the one found in Exercise 11. 16? Explain.
c. What effect does the size of the sample have on the calculated chi-square value when the proportion of observed frequencies stays the same as the sample size increases?
d. Explain in what way this indicates that if a large enough sample is taken, the hypothesis test will eventually result in a rejection.
Step by Step Answer: