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 n is at least 30 Normal Distribution \( \mathrm{n}(1-\mathrm{p}) \) is at least 10 np is at least 10

When preparing to calculate a 1-Population Proportion Confidence Interval, it's essential to ensure that your sample conditions are just right! First, the sample must be a random sample to avoid biases in your results. Plus, you need both \( np \) and \( n(1-p) \) to be at least 10 to ensure that the sampling distribution of the proportion is approximately normal—this is crucial for the reliability of your interval estimate! In practice, sampling with replacement usually isn't ideal for proportions, while sampling without replacement should keep to that magical 10% rule or less of the population size. This way, your estimates remain valid and reflect the true population's properties without skewing results due to changing probabilities!