(Please provide a breakdown and describe/show step by step details on how you arrived the answers so I can learn - thanks)

QUESTION: A FARM region has been divided into five territories, each of which was believed to have equal Growth potential. The actual Growth Potential for several sampled days is logged in DATA (See DATA below 5 Columns per Territory A-E with one row of Growth Potential data). At (alpha) = 0.05, do the territories have equal Growth Potential?

(Note: If the territories have equal potential , then they should share the total potential equally. Recall the formula for DF for a tabulation of one row or one column.)

A) None of the answers are correct

B) (Null) H₀: Territories have equal Growth Potential is rejected with p-value 0.012. The counts are not consistent with the model of equal proportions. Territories have unequal Growth Potential.

C) (Null) H₀: Territories have equal Growth Potential is not rejected with p-value 0.074. The counts are consistent with the model of equal proportions.

D) (Null) H₀: Territories have equal Growth Potential is rejected with p-value 0.041. The

counts are not consistent with the model of equal proportions. Territories have unequal Growth Potential.

E) (Null) H₀: Territories have equal Growth Potential is not rejected with p-value 0.334. The counts are consistent with the model of equal proportions.

DATA:

Territory

A B C D E

Growth Potential 110 140 100 106 110