The Manager of a Pharmacy Wants to Know If Prescriptions

Multiple Choice

The manager of a pharmacy wants to know if prescriptions are filled uniformly over the 7 days of the week. The manager takes a simple random sample of 245 prescription receipts and finds that they are distributed as follows.
$$\begin{array} { | l | c | c | c | c | c | c | c | } \hline \text { Day } & \text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } & \text { Saturday } & \text { Sunday } \\\hline \text { Prescriptions } & 42 & 31 & 33 & 29 & 45 & 44 & 21 \\\hline\end{array}$$ What can we state about the chi-square test in this situation?

A) The test is valid because the sample size is large.
B) The test is valid because the sample is random and the observed counts are large enough.
C) The test is valid because the sample is random and the expected counts are large enough.
D) The test is not valid because we do not know the true population proportions.