The Manager of a Grocery Store Believes That the Number

Multiple Choice

The manager of a grocery store believes that the number of people waiting in the express check out lane follows a Poisson distribution.While watching the lane at random times throughout the day and week, she collects the following information. $\begin{array}{|l|r|r|r|r|r|r|}\hline \begin{array}{l}\text { People waiting in express } \\\text { check out lane }\end{array} & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 35 & 41 & 22 & 14 & 3 & 2\\\hline \end{array}$

Using $\alpha$ =0.10, the appropriate decision for this goodness of fit test is _______.

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