A sample proportion of 0.43 is found. To determine the margin of error for this
statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point
estimate of 0.43.
The minimum sample proportion from the simulation is 0.26, and the maximum
sample proportion from the simulation is 0.52.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?

Question

09-05-2024
Mathematics

Answered

A sample proportion of 0.43 is found. To determine the margin of error for this
statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point
estimate of 0.43.
The minimum sample proportion from the simulation is 0.26, and the maximum
sample proportion from the simulation is 0.52.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?

Answer :

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greentoowon greentoowon · Answer 1 · 2024-05-09T14:01:37-04:00

The interval estimate of the true population proportion can be found using the minimum and maximum sample proportions from the simulation. The range of the sample proportions is from 0.26 to 0.52. To find the margin of error, we take half of this range, which is (0.52 - 0.26) / 2 = 0.13.

So, the interval estimate of the true population proportion is 0.43 ± 0.13, which means the true population proportion is estimated to be between 0.30 and 0.56.