TABLE 11-9
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent. Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson. The gender of the spokesperson and whether or not the viewer could identify the product was recorded. The numbers in each category are given below.

-Referring to Table 11-9, the calculated test statistic is ________.

Question

TABLE 11-9
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent. Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson. The gender of the spokesperson and whether or not the viewer could identify the product was recorded. The numbers in each category are given below.
 
-Referring to Table 11-9, the calculated test statistic is ________.

Quizplus · Accepted Answer

To calculate the test statistic for independence of two categorical variables, we use the chi-square test. The chi-square test statistic in this case is 5.9418, which is calculated by summing up the squared differences between the observed and expected frequencies for each cell, and dividing the result by the expected frequencies. We reject the null hypothesis of independence if the test statistic is larger than the critical value for a chosen level of significance, or if the p-value is smaller than the chosen level of significance. However, the critical value and p-value are not given in this table or problem description.

TABLE 11-9 Many Companies Use Well-Known Celebrities as Spokespersons in Their TV