Question

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. Male Celebrity Female Celebrity 41 109 Identified product Could not identify 61 89 What is the calculated test statistic? Round to four decimal places. A. 0.0000 B. 6.1194 O C. 5.9418 D. 0.1006

b) At a​ 5% level of​ significance, what is the critical value of the test​ statistic? Round to four decimal places.

A. 5.9914

B. 3.8415

C. 9.4877

D. 13.2767

c) What are the degrees of freedom of the test​ statistic?

A. 1

B. 299

C. 2

D. 4

Answer 1

Observed Values: C2 Row Total 61 89 150 C1 41 109 102 198 300 R1 R2 Column Total150 「(Row total x Column total) /Grand total Expected Values C2 51 C1 51 R1 R2 0 41 109 61 89 1.9608 1.0101 1.9608 1.0101 5.9418 51 51 Total 2 0-5.9418 Number of rows-r- 2 Number of columns -c- 2 Significance level- a- 0.05 3.8415 l (Using Excel command CHI1NV(α'D.F) Critical Value-