Based on the information given, it should be noted that a 95% confidence means we are at least 95% sure that the true value of proportion will lie in the interval.
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What does the confidence level mean?</h3>
When we repeat the sampling 100 times and draw a confidence Interval for each one of them, at least 95 confidence intervals will contain the true value of the proportion. This is what we mean by being 95% confident
Also, when we have a random sample of 5. It implies that the condition of randomness is met and they are independent as well. Since the sample size is very small, the condition of a large sample is not satisfied.
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