Chicken, hot dogs, and hamburgers were served during a recent barbecue.The host assumed that there would be no difference between what the women chose to eat and what the men chose to eat.What is the
Test value for the following data?

Question

Quizplus · Accepted Answer

To determine whether there is a significant difference between what the women and men chose to eat, a chi-squared test of independence can be performed. The test value for the given data is calculated to be 1.686, using the formula:

chi-squared = (observed frequency - expected frequency)^2 / expected frequency

The degrees of freedom for this test are (number of rows - 1) x (number of columns - 1) = 1 x 2 = 2.

Using a chi-squared distribution table with 2 degrees of freedom and a significance level of 0.05, the critical value is 5.991. Since the calculated chi-squared value (1.686) is less than the critical value (5.991), we fail to reject the null hypothesis that there is no difference between what the women and men chose to eat. Therefore, the best choice is C as the test value is not significant at the 0.05 level. We need to perform a chi-square test for independence to determine if there is a significant difference between the food choices of men and women. The test value for the given data is 1.686 with 2 degrees of freedom and a significance level of 0.05. Comparing with the chi-square distribution table, the critical value is 5.991. Since the test value (1.686) is less than the critical value (5.991), we fail to reject the null hypothesis and conclude that there is no significant difference between the food choices of men and women. Therefore, choice C is the best answer.

Chicken, Hot Dogs, and Hamburgers Were Served During a Recent