Question

Brian plays golf regularly and would like to test the hypothesis that the number of golf balls that he loses during a round follows the Poisson distribution with an average of 2.0 balls per round. To test this hypothesis, he has collected the following lost ball data from a random sample of rounds.

Number of Lost Balls Per Round	Frequency
0	8
1	24
2	11
3	5
4	2

Perform this hypothesis test using α = 0.05.

Answer 1

Run a simple linear regression to perform hypothesis test

P-value is nothing but significance F in regression

P-value = 0.31 which is larger than the α 0.05 level

If the p-value is larger than 0.05, we cannot conclude that a significant difference exists.This means we retain the null hypothesis and reject the alternative hypothesis