In a brand awareness study,if 25 of a group of 35 males identify the brand correctly and 15 of a group of 35 females identify this brand correctly,the chi-square value for this study is approximately:
A)3.26
B)4.15
C)5.84
D)2.92

Question

Quizplus · Accepted Answer

To find the chi-square value, we can use the formula:

χ2 = Σ (O - E)2 / E

where O is the observed frequency and E is the expected frequency.

In this case, the expected frequency for each group is 0.5 (since we assume that the brand is equally likely to be identified by males and females). So we can calculate the chi-square value as follows:

χ2 = [(25 - 0.5*35)^2 / (0.5*35)] + [(15 - 0.5*35)^2 / (0.5*35)]  = 5.84

Therefore, the answer is C: 5.84.

In a Brand Awareness Study,if 25 of a Group of 35