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

Question

Quizplus · Accepted Answer

Given the scenario, the null hypothesis posits that the observed distribution is uniform across the five categories. The differences in frequencies (27, 30, 29, 21, and 24) do not seem extreme enough to suggest a significant deviation from uniformity, especially without conducting a chi-square test or calculating the exact p-value. However, based on the information provided and the typical approach to hypothesis testing, the most appropriate decision, without further statistical evidence to the contrary, is to not reject the null hypothesis of uniform distribution. Rejecting the null would require evidence of a significant deviation from expected frequencies, which is not explicitly provided here.

A Variable Contains Five Categories α\alphaα = 01, the Appropriate Decision Is _______

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