A Confidence Interval Was Used to Estimate the Proportion of Statistics

question 119

Multiple Choice

A confidence interval was used to estimate the proportion of statistics students that 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 ±0.08 using 95% confidence?

• A) 105
• B) 150
• C) 420
• D) 597

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Definitions:

Superior Good

A type of good whose demand increases as the income of individuals increases, contrary to inferior goods.

Demand Curve

A visual chart that illustrates the connection between a product's price and the amount consumers want to purchase.

Price

The monetary value needed to obtain a product, service, or investment.

Quantity Supplied

The amount of a good or service that producers are willing to sell at a given price over a specific period.