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 has the least margin of error and simulation 2 has the greatest. this is true because simulation 3 has the smallest standard deviation and simulation 4 has the largest standard deviation.

Explanation:

Step1: Recall margin - error and standard - deviation relation

The margin of error is related to the standard deviation of the sampling distribution. 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 spread of the curves

The curve with the least spread has the smallest standard deviation. Curve a is the most narrow, meaning it has the smallest standard deviation among the three curves. The curve with the most spread has the largest standard deviation. Curve c is the most spread - out, meaning it has the largest standard deviation among the three curves.

Answer:

Simulation a has the least margin of error and simulation c has the greatest. This is true because simulation a has the smallest standard deviation and simulation c has the largest standard deviation.