The Use of the Standard Normal Distribution for Constructing Confidence

question 107

Multiple Choice

The use of the standard normal distribution for constructing confidence interval estimate for the population proportion p requires:

• A) andare both greater than 5, wheredenotes the sample proportion
• B) np and n(1 - p) are both greater than 5
• C) n(p +) and n(p -) are both greater than 5
• D) that the sample size is greater than 5
• E) that the sample size is greater than 10

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Definitions:

Test Statistic

A standardized value calculated from sample data during a hypothesis test; used to determine the probability of observing the test results under the null hypothesis.

Normal Distribution

A distribution of probabilities that is even around the average, indicating that occurrences close to the mean happen more often.

Sample

A subset of the population.

Test Statistic

A metric derived from data in a sample during a hypothesis testing process, employed to decide if the null hypothesis should be discarded.