Imagine that the same study described in Problem 10 were conducted on a sample size of ninety, but the distribution of children’s anxiety across parenting styles stayed exactly the same in terms of percentages, as shown in Table 12.24. The decision chi-square stays the same at the 0.025 alpha-level as in the previous analysis, 11.143, but the sample chi-square is now 6.6.

a. In this smaller sample, should the null hypothesis be rejected?

b. Explain why the sample chi-squares from the larger sample in Problem 10

(14.7) and the smaller sample (6.6) are different.

c. What can you conclude about the differences between observed and expected values across the two tests with different sample sizes?