Which of the following is a requirement for testing a claim about a population proportion?
A) The sample observations are a stratified sample.
B) The trials are dependent.
C) The conditions $n p \geq 5 \text { and } n q \geq 5$ are both satisfied.
D) None of the other statements are requirements for testing a claim about a population proportion.

Question

Quizplus · Accepted Answer

The conditions $n p \geq 5 \text { and } n q \geq 5$ are requirements for ensuring that the sampling distribution of the sample proportion is approximately normal, which is necessary for many tests about a population proportion. This is based on the central limit theorem and allows for the use of normal approximation in hypothesis testing.

Which of the Following Is a Requirement for Testing a Claim