A Variable Contains Five Categories $\alpha$ = 01, the Appropriate Decision Is _______

question 42

Multiple Choice

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the appropriate decision is _______.

• A)reject the null hypothesis that the observed distribution is uniform
• B)reject the null hypothesis that the observed distribution is not uniform
• C)do not reject the null hypothesis that the observed distribution is uniform
• D)do not reject the null hypothesis that the observed distribution is not uniform
• E)do nothing

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Definitions:

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two variables.

Relationship

The way in which two or more concepts, objects, or people are connected, or the state of being connected.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values around the mean.

Average Amount

A statistical measure that represents the central or typical value in a set of data, often the mean, median, or mode.