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:

Mental Age

A measure of an individual's mental aptitude based on the average age at which normal individuals achieve a certain level of performance.

Chronological Age

The age of an individual as measured from their birth to the present date, typically expressed in years.

Symmetrical Bell-Shaped Curve

A graphical representation of a normal distribution, indicating that most occurrences take place around the mean and fewer occur as one moves away from the mean.

Normal Distribution

A bell-shaped curve that represents the distribution of many types of data where most values cluster around the mean or average, showing that data near the mean are more frequent in occurrence.