A Confidence Interval Was Used to Estimate the Proportion of Statistics

question 49

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 ±0.08 using 95% confidence?

• A) 105
• B) 150
• C) 420
• D) 597

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Definitions:

Introduces

The act of presenting something or someone for the first time, or bringing something into use or operation.

Conclusion

The final judgement or decision reached by reasoning, or the end part of an argument where the logical outcome is stated.

Speed of Light

A fundamental physical constant representing the maximum speed at which all energy, matter, and information in the universe can travel; approximately 299,792 kilometers per second in a vacuum.

Infinite Energy

A hypothetical concept suggesting an unlimited or inexhaustible source of power.