Under What Conditions Would You Use the T Distribution to Test

question 23

Multiple Choice

Under what conditions would you use the t distribution to test the significance of a single sample proportion?

• A)none,use the Z distribution as long as sample size is large
• B)only when the population standard deviation is known
• C)only when sample size is less than or equal to 120
• D)only when the population is normally distributed

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Definitions:

Matched Pairs

An experimental design where pairs of subjects are matched based on certain criteria to compare effects of different treatments.

Population of Differences

Refers to the set of differences obtained by subtracting one set of values from another, often used in paired samples analysis.

Paired-Difference T-Test

A statistical method used to compare two related or paired groups by analyzing the differences within each pair.

Wilcoxon Signed-Rank Test

A statistical test not based on parameter assumptions that is employed to evaluate two related samples, matched samples, or repeated observations within the same sample to determine if there is a difference in their population mean ranks.