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The relative frequency table below summarizes a survey about support for candidate X in an upcoming national election. In this survey, 210 randomly selected Virginians opposed candidate X. How many people in this survey were Californians who opposed candidate X?

a. 130
b. 180
c. 210
d. 390

Does the table show evidence of an association between being from Virginia and opposing candidate X?

a. Yes, because Virginians who oppose candidate X have the smallest joint relative frequency.
b. Yes, because 70% of Virginians oppose candidate X, but only 60% of all people oppose him.
c. No, because the total column percentages are equal.
d. Yes, because 70% of Virginians oppose candidate X, but only 58.3% of people who oppose candidate X are Virginians.

User Morfinismo
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1 Answer

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Final answer:

The exact number of Californians opposing candidate X cannot be determined without the relative frequency table. To establish an association between being from Virginia and opposing candidate X, we would analyze the proportions in the given table to look for significant differences indicative of an association.

Step-by-step explanation:

The relative frequency table mentioned is not provided, however, based on the description, to find how many Californians opposed candidate X, we would normally need to use the given proportions or percentages from the table alongside the total number of survey participants. If it was stated that 210 Virginians opposed candidate X, and assuming we had a percentage of Californians who opposed, we could calculate the number by applying that percentage to the total survey sample or by using other given variables in the table. Without the relative frequency table, an exact answer cannot be determined.

For the second part of the question, determining if there is an association between being from Virginia and opposing candidate X would require examining the joint and marginal frequencies or percentages in the table. An association would be suggested if the percentage of Virginians opposing candidate X is notably different from the percentage of the overall survey population opposing candidate X, or if the percentage of those opposing candidate X who are Virginians is significantly different from expectations under the assumption of independence. The correct option would have to compare the relevant proportions to determine the existence of an association.

User Zchpit
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