After conducting a survey,a researcher wishes to cut the standard error (and thus the margin of error)to $\frac { 1 } { 3 }$ of its original value.How will the necessary sample size change?

Question

Quizplus · Accepted Answer

To decrease the standard error (and margin of error) by a factor of 11ea9518_d601_fe3a_9016_519b5afb8037_TB3450_11, the sample size will need to be increased by a factor of 11ea9518_d601_fe3a_9016_519b5afb8037_TB3450_11 squared (since the standard error is inversely proportional to the square root of the sample size). Therefore, the necessary sample size will increase by a factor of 11ea9518_d601_fe3a_9016_519b5afb8037_TB3450_11 x 11ea9518_d601_fe3a_9016_519b5afb8037_TB3450_11 = 121. Choice C is the correct answer.

After Conducting a Survey,a Researcher Wishes to Cut the Standard 13\frac { 1 } { 3 }31​

After Conducting a Survey,a Researcher Wishes to Cut the Standard $\frac { 1 } { 3 }$