Asked by Jessica Hartley on May 25, 2024

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Calculate the chi-square statistic for the following data (assume equal expected frequencies) . Calculate the chi-square statistic for the following data (assume equal expected frequencies) .     A)  125 B)  186.02 C)  204.56 D)  341.78 Calculate the chi-square statistic for the following data (assume equal expected frequencies) .     A)  125 B)  186.02 C)  204.56 D)  341.78

A) 125
B) 186.02
C) 204.56
D) 341.78

Chi-Square Statistic

A statistical measure used to determine the significance of the difference between observed and expected frequencies in categorical data.

Expected Frequencies

The anticipated count of occurrences in each category of a variable, calculated based on a theoretical distribution in the context of hypothesis testing.

  • Learn the procedure for calculating chi-square statistics for provided data.
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AN
Aline NyanomeMay 31, 2024
Final Answer :
B
Explanation :
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.