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Which of the following estimates at a 95% confidence level most likely comes

from a small sample?

A. 48% (+21%)

B. 53% (+3%)

C. 59% (+5%)

D. 67% (+7%)

Sagot :

Answer:

Option A

Step-by-step explanation:

95% confidence interval is obtained using the following formula

COnfidence interval lower bound = mean - critical value * sigma/sq rt n

and upper bound = mean + critical value*sigma/sq rt n

Thus margin of error = critical value*sigma/rt n

varies indirectly as n provided others are remaining the same.

Hence lower sample indicates higher margin of error

Out of 4 options given we find that I option has maximum margin of error as 21%

Hence option A is most likely coming from a small sample

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