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an article written for a magazine claims that 78% of the magazines subscribers report eating healthily the previus day. Suppose we select a simple random sample of 600 of the magazines 45,000 subscribers to check the accuracy of this claim. What is the mean of the sampling distribution of the sample proportion of the responses

Respuesta :

Using the Central Limit Theorem, it is found that the mean of the sampling distribution of the sample proportion of the responses is of 0.78.

What is the Central Limit Theorem?

  • It states that for a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem, an article written for a magazine claims that 78% of the magazines subscribers report eating healthily the previous day, hence [tex]p = 0.78[/tex].

  • Then, by the Central Limit Theorem, the mean of the sampling distribution of the sample proportion of the responses is of 0.78.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444

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