In a survey funded by the UW school of medicine, 750 of 1,000 adult Seattle residents said they did not believe they could contract a sexually transmitted infection (STI) and 893 of 1,123 Denver residents said they did not believe they could contract an (STI). Construct a 95% confidence interval of the difference in proportions of Seattle and Denver residents who do not believe they could contract a STI. (Use a z\displaystyle {z} score of 1.96 for your computations.)