Historical data reveals that 47% of all adult women think that they do not get enough time for themeslves. A recent opinion poll interviews 1025 randomly chosen women and records the sample proportion of women who do not feel that they get enough time for themselves. This statistic will vary from sample to sample if the poll is repeated. Suppose the true population proportion is 0.47. In what range will the middle 68% of all sample results fall for samples of size 1025?
Why is the answer 0.454 to 0.486 - please show work and thought process.