Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained. The value of the chi-square test statistic equals _____.
A) -3
B) -2
C) +3
D) 4

Question

Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained.  The value of the chi-square test statistic equals _____.
A) -3 
B) -2 
C) +3 
D) 4

Quizplus · Accepted Answer

We cannot calculate the chi-square test statistic based on the given information alone. We need to know the number of students who supported and opposed the legalization of gambling in order to construct a contingency table and calculate the expected frequencies. Once we have the observed and expected frequencies, we can use the formula for chi-square test statistic:

χ2 = Σ (O - E)2 / E

where O = observed frequency, E = expected frequency, and Σ = the sum across all cells of the contingency table.

Without this information, we cannot determine the value of the chi-square test statistic. Therefore, none of the answer choices is correct.

Students Were Sampled in Order to Determine Their Support for the Legalization