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Answer :
Based on the hypothesis, the correct option is C. No, the Large Counts condition is not met since all expected counts are not greater than 5.
How to explain the information
The statement mentions that the politician selects a random sample of 306 voters from her state. However, it also states that the data do not come from a random sample. This contradiction suggests that the random sample condition is not met.
The Large Counts condition for inference states that all expected counts must be greater than 5. In this case, the expected counts are:
Region 1: 103 * 0.4 = 41.2
Region 2: 103 * 0.3 = 30.9
Region 3: 103 * 0.3 = 31.9
As you can see, not all of these expected counts are greater than 5. Therefore, the Large Counts condition is not met and we cannot use the chi-square test for independence to test the politician's hypothesis.
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