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Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT​

Suppose That A Population Parameter Is 03 And Many Samples Are Taken From The Population As The Size Of Each Sample Increases The Mean Of The Sample Proportions class=

Sagot :

Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.

What does the Central Limit Theorem states?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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