A city planner wants to estimate the proportion of city residents who commute to work by subway each day. A random sample of 30 city residents was selected, and 28 of those selected indicated that they rode the subway to work. Is it appropriate to assume that the sampling distribution of the sample proportion is approximately normal?

A. No, because the size of the population is not known.
B. No, because the sample is not large enough to satisfy the normality conditions.
C. Yes, because the sample is large enough to satisfy the normality conditions.
D. Yes, because the sample was selected at random.
E. Yes, because sampling distributions of proportions are modeled with a normal model.

This question is based on the probability. Therefore, the correct option is B, that is , No, because the sample is not large enough to satisfy the normality conditions.

Given:

A random sample of 30 city residents was selected, and 28 of those selected indicated that they rode the subway to work.

We have to choose appropriate option to assume that the sampling distribution of the sample proportion is approximately normal.

According to the question,

It is given that, a random sample 30 residents, only 28 selected.

In general, only 30 peoples is not large enough sample for an accurate estimate for rode the subway to work.

Therefore, the correct option is B, no, because the sample is not large enough to satisfy the normality conditions.

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30 people out of a city isn’t a large enough sample for an accurate estimate.

The answer is

B. No, because the sample is not large enough to satisfy the normality conditions.