When calculating a sample size for a certain margin of error m,what value of p^* will result in the largest sample size?

A) .5
B) .05
C) 0
D) 1

Question

When calculating a sample size for a certain margin of error m,what value of p *  will result in the largest sample size?A) .5B) .05C) 0D) 1

Zybrea Knight · Accepted Answer

Final Answer : A, Explanation :   The formula for calculating sample size in many surveys or experiments, especially when estimating proportions, often includes the term   p ( 1 − p ) p(1-p) p ( 1 − p )  . The value of   p ( 1 − p ) p(1-p) p ( 1 − p )   reaches its maximum when   p = 0.5 p = 0.5 p = 0.5  , making the sample size largest at this point to achieve a certain margin of error.

When calculating a sample size for a certain margin of error m,what value of p^* will result in the largest sample size?

A) .5
B) .05
C) 0
D) 1

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Learning Objectives

Related questions

When calculating a sample size for a certain margin of error m,what value of p* will result in the largest sample size?A) .5B) .05C) 0D) 1

Definitions

Learning Objectives

Learning Objectives

Related questions

When calculating a sample size for a certain margin of error m,what value of p^* will result in the largest sample size?

A) .5
B) .05
C) 0
D) 1