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Fill in the blanks: The Plus 4 Method for confidence intervals for proportions is recommended because...

Fill in the blanks: The Plus 4 Method for confidence intervals for proportions is recommended because the true confidence level of the__________-sample interval can be substantially __________ than the planned level.

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Answer #1

A plus 4 method of confidence interval adds 4 additional observations to the dataset, for example with 2 success and 2 failures. The end result is slightly different from the sample statistic initially predicted. Due to sample proportion being so small or so large, the proportion sometimes is very close to 0 or even very close to 1. Therefore the plus 4 confidence interval is used. The other reason which is mentioned in the question here is we use this method when the sample size is small.

Therefore

The Plus 4 Method for confidence intervals for proportions is recommended because the true confidence level of the small - sample interval can be substantially larger than the planned level.

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