# Question

To demonstrate/explore the effect increased sample size has on the calculated chi-square value, let’s consider the Skittles candies in Exercise 11.16 and sample some larger bags of the candy.

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.

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.

## Answer to relevant Questions

According to The Harris Poll, the proportion of all adults who live in households with rifles (29%), shotguns (29%), or pistols (23%) has not changed significantly. However, today more people live in households with no guns ...Find the expected value for the cell shown. Find these critical values by using Table 8 of Appendix B. a. x2(18, 0.01) b. x2(16, 0.025) c. x2(40, 0.10) d. x2(45, 0.01) Blogging is a hot topic nowadays. A “blog” is an Internet log. Blogs are created for personal or professional use. According to the Xtreme Recruiting website (http://www.xtremerecruiting.org/), there is a new blog born ...Applied Example 11. 7 reports percentages describing people’s preferences with regard to how potatoes are prepared. Do you believe there is a significant difference between the four regions of America with regard to the ...Post your question

0