Find a 95% Confidence Interval for the True Population Proportion $20.6 \%$

question 152

Multiple Choice

Find a 95% confidence interval for the true population proportion.
-In a survey of 257 female employees of a large company, 21% said that they had experienced some form of sexual harassment while working for the company.

• A) \(20.6 \%\) to \(21.4 \%\)
• B) \(14.8 \%\) to \(27.2 \%\)
• C) \(8.5 \%\) to \(33.5 \%\)
• D) \(20.9 \%\) to \(21.1 \%\)

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Definitions:

Type I Error

The error made in statistical hypothesis testing when a true null hypothesis is incorrectly rejected, commonly referred to as a "false positive."

Type I Error

Type I error, often denoted as α, occurs when a true null hypothesis is incorrectly rejected, indicating a false positive finding in hypothesis testing.

Null Hypothesis

A statement suggesting that there is no significant difference or relationship between specified populations, any observed effect being due to sampling or experimental error.

Type I Error

The mistake of rejecting the null hypothesis when it is actually true, commonly referred to as a "false positive."