In: Statistics and Probability
Kevin is looking to invest his money in a local investment company called Robin Hood financial services. To ensure his investment is safe and has good returns, he randomly surveys people who invested with the company and asks whether they would recommend the company for investment. Of the 474 people surveyed, 277 recommend Robin Hood financial services for investment.
Using this data, Kevin wants to estimate the actual proportion of people who recommend Robin Hood financial services for investment.
What is the estimated standard error of the sample proportion used to calculate a 90% confidence interval? Give your answer to 4 decimal places.