Questions 27-28 are based on the following information.
In a survey of males' and females' preferences for brand 1, 2, and 3, a total of 250 customers
are interviewed. (Part of) the data of brand preference and gender is summarized in the
following table.
Brand 1 Brand 2 Brand 3
Male X 40 10
Female 60 40 40
We also have the following table of contributions to the chi-square statistic:
Brand 1 Brand 2 Brand 3
Male
Female 2.25
27. Which of the following is the null hypothesis being tested by the $\chi^2$-statistic for this data?
A) Males prefer brand 2 to brand 3, while females prefer brand 3 to brand 2.
B) Males and females are equally likely to prefer brand 3 to brands 1 and 2.
C) Gender has no effect on brand preference.
D) Gender has an effect on brand preference.
Answer: C
28. What is the value of X in the first table?
A) 70
B) 30
C) 50
D) Not enough information
E) 90
Answer: B
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