According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is .08, while this is .088 for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived and interpret it in context of the data. In this answer, report the lower end of that 95% confidence interval. [Note: input your answer as a proportion, not a percent (keeping in mind that proportions range from 0 to 1), and round your answer to the thousandths place (i. e., three decimal points).]