A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each oftwo random samples selected from the same population: sample R and sample S. Let R represent a random sampleof size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal tothe point estimate obtained from S, which of the following must be true about the respective margins of errorconstructed from those samples?(A) The margin of error for S will be 4 times the margin of error for R.(B) The margin of error for S will be 2 times the margin of error for R.(C) The margin of error for S will be equal to the margin of error for R.(D) The margin of error for R will be 4 times the margin of error for S.(E) The margin of error for R will be 2 times the margin of error for S.
A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each of
two random samples selected from the same population: sample R and sample S. Let R represent a random sample
of size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal to
the point estimate obtained from S, which of the following must be true about the respective margins of error
constructed from those samples?
(A) The margin of error for S will be 4 times the margin of error for R.
(B) The margin of error for S will be 2 times the margin of error for R.
(C) The margin of error for S will be equal to the margin of error for R.
(D) The margin of error for R will be 4 times the margin of error for S.
(E) The margin of error for R will be 2 times the margin of error for S.
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