When Solving for the Sample Size Needed to Compute a 95

question 114

Multiple Choice

When solving for the sample size needed to compute a 95 percent confidence interval for a population proportion "p," having a given error bound "E," we choose a value of $\hat { p }$
That:

• A)Makes
• \(\hat { p } ( 1 - \hat { p } )\)
• As small as reasonably possible.
• B)Makes
• \(\hat { p } ( 1 - \hat { p } )\)
• As large as reasonably possible.
• C)Makes
• \(\hat { p } ( 1 - \hat { p } )\)
• As close to .5 as reasonably possible.
• D)Makes
• E)Both Makes

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Definitions:

Chance Differences

Refers to variations in data that result from random factors or fluctuations, as opposed to differences caused by specific variables.

Sampling Distribution

Theoretical distribution of the frequency of all possible outcomes of a study conducted with a given sample size.

Null Hypothesis

The null hypothesis is a statistical hypothesis that assumes no significant difference or effect exists between specified populations, conditions, or variables.

Error Variance

The variability in a set of scores that is not explained by the variables studied, often considered as 'noise' in data.