SOLUTION: Here is a two-way table of counts. The expected counts come second. The data is based on SRS with two categorical variables. Is it safe to use the chai Square test with critical va

Question 1207529: Here is a two-way table of counts. The expected counts come second. The data is based on SRS with two categorical variables. Is it safe to use the chai Square test with critical values from the chi-Square distribution?
50: 51.54 36: 31.65 12: 14.99
16: 18.34 13: 11.31 6: 5.36
54: 50.30 25: 31.01 17: 14.69
A. Yes, because all of the observed counts equal five or greater.
B. Yes, because all of the expected counts equal or greater.
C. No because the counts are not whole numbers.
D. Because the sum of the observed counts equals the sum of expected counts.
Answer by ElectricPavlov(122) (Show Source): You can put this solution on YOUR website!
The correct answer is **B. Yes, because all of the expected counts equal or greater.**
**Explanation:**
The chi-square test for independence requires the following condition:
* **All expected counts must be greater than or equal to 5.**
In this case, all the expected counts in the table are greater than or equal to 5. Therefore, it is safe to use the chi-square test with critical values from the chi-square distribution.
**Note:**
* The observed counts can be any non-negative number, including decimals.
* The sum of the observed counts must equal the sum of the expected counts, but this is not a condition for using the chi-square test.

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