For this problem all manual computations/arithmetic must be carried to at least 4 decimals Suppose NBC news conducted a poll of 841 American adults and found that 362 of the respondents had an optimistic outlook for the economy for next year. Develop a 95% confidence interval for the percentage of American adults who have an optimistic outlook for the economy. (12 points) Enter your answers in percent (%) and round them to the nearest integer. Do not include the percent (%) sign in your answer. The lower confidence interval limit (LL) = The upper confidence interval limit (UL) = . Suppose NBC has asked the same question to a sample of 1,369 adults nine months earlier, finding 47% with an optimistic outlook for the year ahead. Develop a 95% confidence interval for the percentage of American adults who had an optimistic outlook for the economy nine months earlier. (12 points) Enter your answers in percent (%) and round them to the nearest integer. Do not include the percent (%) sign in your