Answer :
There are 2 standard errors of the population proportion is occurs when the conditions of a survey sample satisfy those required by the central limit theorem, and there is a 95% probability.
Central limit theorem:
Central limit theorem or CLT theorem states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.
Given,
If the conditions of a survey sample satisfy those required by the central limit theorem, then there is a 95% probability that a sample proportion will fall
Here we need to finds the number of standard errors of the population proportion.
Based on the central limit theorem, when we take the situation into consideration, we have identify the there are 2 standard error are happen in the population proportion.
To know more about Central limit theorem here.
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