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Two sample intervals for proportions

Peter owns two bakeries. One of them is in a large city and the other is in a small town. He wants to see if more people prefer his triple chocolate cake over his chocolate cream pie in the town than in the city.
Peter has compiled a list of 3,0003{,}000 regular customers that visit his city bakery and 1,0001{,}000 that visit his town bakery. He randomly selects 200200 customers from the city location and 5050 from the town location and discovers that 120120 of the city customers sampled and 4545 of the town customers sampled prefer the triple chocolate cake over the chocolate cream pie. Peter then asks his statistician friend for help constructing a 95%95\% confidence interval for the difference between the proportion of people who prefer the triple chocolate cake over the chocolate cream pie at the town bakery and at the city bakery.
The friend tells him:
Choose 1 answer:
Choose 1 answer: