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

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1. The requirement for the proportion confidence interval assumes that the data come from a random sample.  
2. When sampling without replacement, the sample size should be at most $$10\%$$ of the population.  
3. To ensure that the sampling distribution of the proportion is approximately normal, we need to have both  
   $$
   np \ge 10 \quad \text{and} \quad n(1-p) \ge 10.
   $$

Thus, the correct conditions to select are:

- If sampling without replacement, the sample should be at most $$10\%$$ of the population.
- Random Sample.
- $$n(1-p)$$ is at least 10.
- $$np$$ is at least 10.
The correct conditions are: - Random Sample - $$n(1-p) \ge 10$$ - $$np \ge 10$$

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