The proportion of a population with a characteristic of interest is p = 0.28. Sa

Question

The proportion of a population with a characteristic of interest is p = 0.28. Sample proportion is computed from samples of size 25. Identify the correct statement with regard to the distribution of the sample proportion.

a) Sample proportion is normally distributed with mean 0.72 and standard deviation 0.09.

b) Sample proportion is normally distributed with mean 0.72 and standard deviation 0.008.

c) Sample proportion is normally distributed with mean 0.28 and standard deviation 0.09.

d) Sample proportion is normally distributed with mean 0.28 and standard deviation 0.008.

e) Sample proportion is not normally distributed.

Explanation / Answer

n*p = 0.28*25 = 7 which is less than 10 so

e) Sample proportion is not normally distributed.

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