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A community organization wishes to know the proportion of subjects who feel financially comfortable in a certain town.

Based on last year’s census, $64\%$ of the town residents felt financially comfortable. In this year’s survey, $56$ out of $115$ randomly chosen subjects expressed feeling financially comfortable. The organization wishes to determine if the residents’ opinion of financial comfort has changed from last year.

If the town has a population of $n = 500$, why would it be incorrect to use a normal probability calculation on proportions?​

A

The survey taken was not an SRS.

B

The population is not at least $10\text{ times}$ the sample size.

C

The sampling distribution is not approximately normal.

D

The sample size was too small.

E

It would be a statistically correct procedure to use a normal probability calculation in this situation.

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