A study was recently conducted in which people were asked to indicate which news medium was their preferred choice for national news.The following data were observed: Given this data,if we wish to test whether the preferred news source is independent of age,for an alpha = .05 level,the critical value from the chi-square table is 9.4877.

Question

A study was recently conducted in which people were asked to indicate which news medium was their preferred choice for national news.The following data were observed:  Given this data,if we wish to test whether the preferred news source is independent of age,for an alpha = .05 level,the critical value from the chi-square table is 9.4877.

Quizplus · Accepted Answer

To test independence between two categorical variables, we can use a chi-square goodness-of-fit test. The critical value of chi-square with 2 degrees of freedom (number of categories - 1) and alpha = 0.05 is indeed 9.4877. Therefore, if the calculated chi-square value exceeds this critical value, we can reject the null hypothesis that age and preferred news source are independent.

A Study Was Recently Conducted in Which People Were Asked