Assume that the population proportion is .55. Compute the standard error of the proportion, , for sample sizes of 100, 200, 500, and 1000. What can you say about the size of the standard error of the proportion as the sample size is increased?
SE = sqrt [(p)(1-p) / n ]
For n = 100
= sqrt[(0.55)(0.45) / 100 ]
≈ 0.0497
For n = 200
= sqrt[(0.55)(0.45) / 200 ]
≈ 0.0352
For n = 500
= sqrt[(0.55)(0.45) / 500 ]
≈ 0.0222
For n = 1000
= sqrt[(0.55)(0.45) / 1000 ]
≈ 0.0157
Assume that the population proportion is .55. Compute the standard error of the proportion, , for...
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