SOLUTION: Consider the following scenario: A study given in previous years showed that 25% of the people voted in cities, 45% voted in rural areas, and 30% voted overseas. A more recent stu

Question 1198360: Consider the following scenario: A study given in previous years showed that 25% of the people voted in cities, 45% voted in rural areas, and 30% voted overseas. A more recent study of 100 individuals shows that 35 of them voted in cities, 27 in rural areas, and 38 voted while overseas.
The distribution that should be used to analyze the difference in the proportions is one of the following. Which one?
A) Normal distribution
B) T distribution
C) Chi distribution
D) Binomial distribution
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
The appropriate distribution to analyze the difference in proportions in this scenario is:
**C) Chi-square distribution**
**Explanation:**
* **Chi-square test:** This statistical test is used to compare observed frequencies with expected frequencies in categorical data.
* **In this case:**
* We have three categories: city, rural, and overseas.
* We are comparing the observed frequencies (35, 27, 38) to the expected frequencies based on the previous study (25%, 45%, 30% of the 100 individuals).
The chi-square test will determine if there is a statistically significant difference in the voting proportions between the previous study and the more recent study.

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