A survey asked residents of Rain County and Snow County if they planned to set off fireworks on July 4. The results of the survey showed that 429 of the 1,946 randomly sampled residents from Rain County and 469 of the 1,662 randomly sampled residents from Snow County planned to set off fireworks on July 4. Find a 90% confidence interval for the difference of the proportions of residents in Rain County and Snow County (p R a i n − p S n o w) that plan to set off fireworks on July 4. Then input the LOWER BOUND of that interval. (Round to the nearest hundredth)
Lower Bound = -0.09
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