Use the Given Degree of Confidence and Sample Data to Construct

question 24

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
-Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke.

• A) 14.6% < p < 25.4%
• B) 13.6% < p < 26.4%
• C) 12.4% < p < 27.6%
• D) 11.6% < p < 28.4%

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Definitions:

Mutually Exclusive Events

Two events that cannot occur at the same time within the same experiment or observation.

Independent Events

Two or more events that have no influence on each other's occurrence, meaning the occurrence of one event does not affect the probability of the other.

Intersection

In mathematics, it refers to the set of elements common to two or more sets.

Posterior Probabilities

Probabilities that are updated or revised after taking into account new evidence or information.