The number of successes and the sample size are given for a simple random sample from a population. Decide whetherusing the one-proportion z-interval procedure is appropriate.
-x = 19, n = 30
A)Appropriate
B)Not appropriate

Question

The number of successes and the sample size are given for a simple random sample from a population. Decide whetherusing the one-proportion z-interval procedure is appropriate.
-x = 19, n = 30 
A)Appropriate
B)Not appropriate

Quizplus · Accepted Answer

The one-proportion z-interval procedure is appropriate if the sample size is large enough and the success-failure condition is met. Here, both conditions $np \geq 10$ and $n(1-p) \geq 10$ are satisfied if we estimate $p$ by $\hat{p} = x/n = 19/30$.

The Number of Successes and the Sample Size Are Given