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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