1. Using a sample of 26 twelve-year-olds from diverse backgrounds, a researcher conducts an exploratory study of the relationship between self-esteem and socioeconomic status. She obtains a sample correlation of r = 12.

(a) Specify the statistical hypotheses.

(b) Specify the critical r value and statistical decision (α= 05).

(c) Draw final conclusions.

2. Suppose that the researcher in Problem 4, while presenting her results at a conference, said the following: "Interestingly, the obtained correlation was negative. That is, there is a slight tendency for children of higher socioeconomic backgrounds to be lower in self-esteem." What would be your response to this interpretation?