A Researcher Believes That Arrivals at a Walk-In Hair Salon

Multiple Choice

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed.The following data represent a distribution of frequency of arrivals in a one-hour time period. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Number of customer arrivals } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Frequency } & 47 & 56 & 39 & 22 & 18 & 10 \\\hline\end{array}$$ Using $\alpha$ = 0.10, the critical chi-square value for this goodness-of-fit test is _______.

A) 1.064
B) 13.277
C) 9.236
D) 8.799
E) 7.779