In a brand awareness study,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)7.92

Question

Quizplus · Accepted Answer

To find the chi-square value, first calculate the expected values for each group assuming that the brand awareness is the same for both males and females. The expected value for each group is (25+15)/2 = 20. Then, calculate the chi-square value using the formula: (observed-expected)^2/expected. For males, the calculation is (25-20)^2/20 = 1.25. For females, the calculation is (15-20)^2/20 = 1.25. Summing these values gives a chi-square value of 2.5. Using a chi-square table with 1 degree of freedom and an alpha level of 0.05, the critical value is 3.84. Since the calculated value (2.5) is less than the critical value, we fail to reject the null hypothesis that there is no difference in brand awareness between males and females. Therefore, the answer is C) 5.84.

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