Many companies use wellknown celebrities as spokespersons in

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 in the contingency table.

Male Celebrity Female Celebrity

Identifiied product 41 61

Could not identify 109 89

What is the number the degrees of freedom for the test statistic?

Solution

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 in the contingency table.

Male Celebrity Female Celebrity

Identifiied product 41 61

Could not identify 109 89

What is the number the degrees of freedom for the test statistic?

Answer: DF=1

There are 2 rows and 2 columns in the table

Degrees of freedom = (r-1)(c-1) = (2-1)(2-1) =1