Problem 4: Broken Ice Cream Machines (no data set is posted for this problem).

A certain popular fast food chain is infamous for their broken ice cream machines.Suppose in July 2019 and August 2019, the fast food chain randomly and independently sampled its restaurants.In July, they discovered 109 of the 800 restaurants sampled had broken ice cream machines.In August, they discovered 267 of the 900 restaurants sampled had broken ice cream machines.It is known that there are 38,695 restaurants owned by this chain globally.

a)Define the population parameter in context in one sentence.

b)Calculate the two sample proportions separately and then calculate the estimate of the parameter by subtracting (August sample - July sample).

c)Check all the conditions for this inference.

d)Construct the 99% confidence interval.

e)Does your confidence interval capture 0?what that means in relation to a two-sided hypothesis test.