Test at the 5% significance level whether causes of the fire and regions are related.

Question

   A forestry official is comparing the causes of forest fires in two regions, A and B. The following table shows the causes of fire for 76 randomly selected recent fires in these two regions.

Region	Smoking	Camping	Lightning	Unknown
A	6	9	6	10
B	7	14	15	9

Answer 1

Hypotheses

1. H₀: Causes of fire and region are independent.
2. H₁: Causes of fire and region are related.

Compute expected frequencies

Compute Chi-square statistic

Significance Decision