Researchers are interested in determining the proportion of American teenagers who own an Android device. They randomly sample 1000 teenagers from all over the country and ask them whether or not they own an Android device. They find that the proportion of teenagers in the sample that own an Android device is 0.50. They use the bootstrap distribution of the bootstrap sample proportions given below to construct a 95% confidence interval for the proportion of American teenagers who own an Android device.

Suppose the confidence interval that was constructed is (0.482, 0.518). What is the value of thestandard error of the sample proportions? (Round your answer to the THREE decimal places.)