Experts have estimated that 25% of all homeless people in the U.S. are veterans.

Question

Experts have estimated that 25% of all homeless people in the U.S. are veterans. The proportion of Americans in general who are homeless is 0.11. For random samples of 100 people, which is more normal?

A.

Distribution of sample proportion, when the population proportion is 0.11

B.

Distribution of sample proportion, when the population proportion is 0.25

C.

Both are the same

D.

None of the above

A.

Distribution of sample proportion, when the population proportion is 0.11

B.

Distribution of sample proportion, when the population proportion is 0.25

C.

Both are the same

D.

None of the above

Explanation / Answer

B.

Distribution of sample proportion, when the population proportion is 0.25

I presume "who are homes" should read "who have homes", and that by "more normal", you mean closer to a normal distribution.

for small samples, the closer the % is to 50%, the more symmetrical - and hence closer to normal

B.

Distribution of sample proportion, when the population proportion is 0.25

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