12
AssignmentMultiple Choice

More about Confidence Intervals

Question 12 • CA-Statistics and Probability B

When building a confidence interval for a population proportion, why is it important for the observations to be selected randomly?

Answer
A
to guarantee that the value of the population parameter can be determined
B
to trust that they accurately describe the population of interest
C
to determine the critical value
D
to ensure that the 10% condition is met

Explanation

Random selection helps make the sample representative of the population, so the sample proportion can be trusted to describe the population proportion. It does not guarantee that the exact population parameter is known; a confidence interval estimates it. The critical value is determined by the chosen confidence level, and random selection alone does not ensure the 10% condition.

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