2a) Calculate the 99% CI for the difference between the proportions of southern homes and northern homes heated by gas. 2b) State conclusion and inference of your findings.

Question 2: (16 points) Suppose the AGA would like to compare the proportion of homes heated by gas in the South with the corresponding proportion in the North. AGA selected a random sample of 60 homes located in the South and found that 34 of the homes use gas for heating fuel. AGA also randomly sampled 80 homes in the North and found 42 used gas for heating