Sami Schmitt Believes That the Number of Cars Arriving at His

Multiple Choice

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cars per 15-rrirute iriterval } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 5 & 15&17 & 12& 10 & 8 \\\hline\end{array}$$


Using $\alpha$ = 0.05, the appropriate decision for this goodness-of-fit test is ____.

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