Question

1. how do you see it? the figure shows the distribution of the sample proportions from three simulations using different sample sizes. which simulation has the least margin of error? the greatest? explain your reasoning. simulation 1 a has the least margin of error and simulation 2 c has the greatest. this is true because simulation 3 a has the smallest standard deviation and simulation 4 c has the largest standard deviation.

Explanation:

Step1: Recall margin - error and standard - deviation relation

The margin of error is related to the standard deviation. A smaller standard deviation leads to a smaller margin of error, and a larger standard deviation leads to a larger margin of error.

Step2: Analyze the distributions

In a normal - like distribution of sample proportions, the spread of the distribution is measured by the standard deviation. Distribution A is the most narrow, indicating the smallest standard deviation. Distribution C is the widest, indicating the largest standard deviation.

Answer:

Simulation A has the least margin of error and simulation C has the greatest margin of error because simulation A has the smallest standard deviation and simulation C has the largest standard deviation.