Calculate the chi-square statistic for the following data (assume equal expected frequencies).

Question

Quizplus · Accepted Answer

Since the expected frequencies are equal, we only need to calculate the observed frequencies. In this case, there are two groups with one observation each. We can set up the following table:

|        | Observed | Expected |
|--------|----------|----------|
| Group 1 | 1        | 0.5      |
| Group 2 | 1        | 0.5      |

To calculate the chi-square statistic, we use the formula:

χ^2 = Σ (Observed - Expected)^2 / Expected

Plugging in the values from the table, we get:

χ^2 = (1-0.5)^2/0.5 + (1-0.5)^2/0.5
χ^2 = 2

Therefore, the chi-square statistic is 2. The closest choice is B) 186.02, which is incorrect.

Calculate the Chi-Square Statistic for the Following Data (Assume Equal