When the level of confidence and sample size remain the same,a confidence interval for a population proportion p will be ______________ when is larger than when is smaller.
A)Wider
B)Narrower
C)Neither A nor B,they will be the same

Question

When the level of confidence and sample size remain the same,a confidence interval for a population proportion p will be ______________ when  is larger than when  is smaller.
A)Wider 
B)Narrower 
C)Neither A nor B,they will be the same

Quizplus · Accepted Answer

A larger margin of error (11eaa0cf_06db_6f6a_9cb2_d973520435d1_TB1737_11) will result in a wider confidence interval, while a smaller margin of error (11eaa0cf_06db_6f6b_9cb2_fdcefbf4cdd3_TB1737_11) will result in a narrower confidence interval. This is because a larger margin of error indicates greater variability in the data, which requires a wider range of values to be included in the confidence interval to account for that variability. When the margin of error is smaller, there is less variability and a smaller range of values is necessary to achieve the same level of confidence.

When the Level of Confidence and Sample Size Remain the Same,a