Sami Wilson believes that number of cars arriving at his Spotless Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. Using $\alpha$ = 0.05, the appropriate decision for this goodness-of-fit test is ___.

Question

Sami Wilson believes that number of cars arriving at his Spotless Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis.  Using $\alpha$ = 0.05, the appropriate decision for this goodness-of-fit test is ___.

Quizplus · Accepted Answer

Based on the chi-square goodness-of-fit test statistics and the corresponding p-value, we fail to reject the null hypothesis that the observed distribution is Poisson at the 0.05 significance level. Therefore, we do not have evidence to suggest that the distribution of the number of cars arriving at the Spotless Car Wash is not Poisson.

Sami Wilson Believes That Number of Cars Arriving at His α\alphaα

Sami Wilson Believes That Number of Cars Arriving at His $\alpha$