Consider taking samples of size 100 from a population with proportion 0.33. Is the sample size...
Consider taking samples of size 100 from a population with proportion 0.33.
Is the sample size large enough for the Central Limit Theorem to apply so that the sample proportions follow a normal distribution?
a) Yes, np and n(1-p) both >=10.
b) No, np and n(1-p) both >=10.
c) Yes, np and n(1-p) both >=100.
d) No, 100 is never large enough.
Homework Answers
Solution :
n = 100
p = 0.33
1 - p = 0.67
np = 100 * 0.33 = 33 and n(1 - p) = 100 * 0.67 = 67 
10
a) Yes np and n(1-p) both >=10
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