Which of the following are the conditions for the 1-Population Proportion Confidence Interval? Select all that apply. If sampling with replacement, the sample should be at least \( 30 \% \) of the population. If sampling without replacement, the sample should be at most \( 10 \% \) of the population. Random Sample nis at least 30 Normal Distribution n(1-p) is at least 10 np is at least 10

One key condition for constructing a confidence interval for a population proportion is that the sample should be sufficiently large. Specifically, both \( np \) and \( n(1-p) \) must be at least 10. This ensures that the sampling distribution of the proportion can be approximated by a normal distribution, which is crucial for the validity of the confidence interval. Another important condition is that the sample must be a random sample to avoid biases that could skew the results. This random selection helps ensure that the sample accurately represents the population, enhancing the reliability of the statistical inferences drawn from it.