1. A grassroots organization implementing an education program in district A in India is interested in measuring learning levels of 5^th grade students enrolled in rural government schools. A standardized arithmetic test is administered to a simple random sample of150 5^th graders to determine the proportion of students who can perform division operations. Test results show that 78 students in the sample are able to do so.
   1. Find the proportion of 5^th gradestudents that are able to perform division operations,and the standard error.
   2. Give a 95% confidence interval for the true proportion of5^th grade students in rural government schools of district A with the ability to perform division operations.