A statistics teacher gave each of her students a spinner with four equal sized sections: one red, one blue, one yellow, and one green. She asked each of them to spin their spinner 50 times, record the proportion of times their spinner landed on red, and add the value to a class dotplot. They repeated this process until they had a plot with many dots, with each dot representing a sample proportion ( p r e d ) from a spinner that is 25% red. Calculate the standard error of the sample proportion, which estimates the spread of the class dotplot. Round to the nearest thousandth