Respuesta :

Answer:

The mean of the sampling distribution of sample proportion is the population proportion p.

Step-by-step explanation:

According to the central limit theorem, if a large sample (n > 30) is selected from an unknown population with population proportion p, then the sampling distribution of sample proportion follows a Normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p\\\sigma_{\hat p}=\sqrt{\frac{p(1-p}{n}}[/tex]

Thus, the mean of the sampling distribution of sample proportion is the population proportion p.

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