A Confidence Interval Was Used to Estimate the Proportion of Statistics

question 151

Multiple Choice

A confidence interval was used to estimate the proportion of statistics students who are female.A random sample of 72 statistics students generated the following 90% confidence interval: (0.438,0.642) .Using the information above,what total size sample would be necessary if we wanted to estimate the true proportion to within $\pm$ 0.08 using 95% confidence?

• A)105
• B)150
• C)420
• D)597

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Definitions:

Caucasian Face

Refers to facial features traditionally associated with people of European descent, often discussed in studies of race and perception.

Behavioural

Relating to or concerned with the actions or activities of living organisms; often used in psychology to refer to observable actions as a basis for study.

Favourable Attitude

A positive orientation or liking towards something, characterized by approval or support.

Relative Value

The worth or importance of something in relation to another item's worth, often used in economics and investing.