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Multiple Choice
Which of the following is an assumption when using a nonparametric test?
A
The population is normally distributed.
B
The sample size must be greater than .
C
The data are independent observations.
D
The population variance is known.
Verified step by step guidance
1
Understand that nonparametric tests are statistical methods used when we do not want to assume a specific distribution for the population, unlike parametric tests which often assume normality.
Review the common assumptions for nonparametric tests, which generally include fewer and less strict assumptions compared to parametric tests.
Recognize that nonparametric tests do not require the population to be normally distributed, so the assumption 'The population is normally distributed' is not necessary.
Note that nonparametric tests do not require the sample size to be greater than 30; they can be used with small sample sizes as well.
Identify that a key assumption for nonparametric tests is that the data consist of independent observations, meaning each data point is collected independently of the others.