The TV Design team showed 40 boys and 40 girls prototype shows for two new television programs for children.After they had seen both shows,each child indicated which show he or she liked better.Their choices are shown here.The expected frequencies were 20,20,20,and 20.

Question

Quizplus · Accepted Answer

The chi-squared test for independence should be used to determine if there is a significant association between the choice of show and gender. The expected frequencies are equal for both genders (20 each), which means that gender is not expected to have an effect on the choice of show. The observed frequencies in choice of show are different from the expected frequencies, suggesting that there may be a significant association. The chi-squared value is highest for choice C, indicating that the association between gender and choice of show is strongest for this choice. Therefore, choice C is the best choice for the TV Design team to consider.

The TV Design Team Showed 40 Boys and 40 Girls