Distribution of sample proportions of the residents


Suppose you know that the distribution of sample proportions of the residents of one town over 70 years old in samples of 110 residents is normal with a mean of 0.12 and a standard deviation of 0.03. You select a sample of 110 residents and find that the proportion of residents over 70 is 0.09. The standard score corresponding to this sample proportion is -1. What is the probability that a second sample would be selected with a proportion less than 0.09?

A. 0.8413

B.0.5187

C.0.1357

D. 0.8643

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Basic Statistics: Distribution of sample proportions of the residents
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