Answer:
D. Yes, all of the conditions for inference are met.
Step 1
Introduction:
The population percentages of political affiliations are 42% Democrats, 34% Republicans, and 24% Independents.
Step 2
Explanation:
It is given that a random sample of 500 citizens of the municipality is considered. Thus, the random condition is met.
The sample size must not exceed 10% of the population size, that is, the population size must be more than 10 times the sample size. Now, if 500 were 10% of the total population of the municipality, the population size for the municipality would be 500 × 10 = 5000. It is logical to assume that a municipality has more than 5000 people. Thus, the 10% condition seems to be satisfied.
The sample size must be large enough, which is usually taken to be at least 30. The sample size of 500 is surely much larger compared to that. Thus, the large counts condition is met.
The correct option is, "yes, all of the conditions for inference are met.
