The results of a recent poll on the preference of shoppers regarding two products are shown below. At 95% confidence, the margin of error is

A) .064.
B) .044.
C) .0225.
D) .025.

Question

The results of a recent poll on the preference of shoppers regarding two products are shown below.   ​ At 95% confidence, the margin of error isA)  .064.B)  .044.C)  .0225.D)  .025.

Roxana Abreu · Accepted Answer

Final Answer : B, Explanation :  To find the margin of error, we use the formula:Margin of Error = Z* * (sqrt(p*(1-p))/sqrt(n))where Z* = the critical value for the desired level of confidence (in this case, 1.96 for 95% confidence), p = the proportion of respondents who prefer Product A, and n = the sample size.Using the data from the poll:p = 243/500 = 0.486n = 500Margin of Error = 1.96 * (sqrt(0.486*(1-0.486))/sqrt(500)) = 0.044Therefore, the margin of error is 0.044, which corresponds to answer choice B.

The results of a recent poll on the preference of shoppers regarding two products are shown below. At 95% confidence, the margin of error is

A) .064.
B) .044.
C) .0225.
D) .025.

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Learning Objectives

Related questions

The results of a recent poll on the preference of shoppers regarding two products are shown below. ​ At 95% confidence, the margin of error isA) .064.B) .044.C) .0225.D) .025.

Definitions

Learning Objectives

Learning Objectives

Related questions

The results of a recent poll on the preference of shoppers regarding two products are shown below. At 95% confidence, the margin of error is

A) .064.
B) .044.
C) .0225.
D) .025.