Question

Are Jeopardy viewers nerds? A poll of 1200 Jeopardy viewers in the U.S. was conducted to compare the expected to the observed number of audiences in five categories of educational backgrounds:

(1) those with less than high school education,

(2) high school degrees,

(3) 2-year degrees,

(4) 4-year degrees, and

(5) those with masters degrees or higher.

A goodness of fit statistical study was conducted. At the 5% significance level, the critical chi-squared value is known to be 20.5. The chi-squared value computed from the data collected is 34.7.

At the 5% significance level, test the hypothesis that observed and the expected distributions of education level of the audience are consistent.

(1) Is this statistical test two-tailed, left-tailed, or right-tailed?

(2) State the conclusion of the statistical study and the reason for your conclusion (based on the chi-squared values).

Answer 1