Lux Research randomly polled 675 American small business owners and found that, if money were no object, 391 of them would choose to continue working. In other words, they enjoy running their business so much, they would choose to not retire. a. Find the sample proportion and standard error for this sample. b. Does this meet the assumptions and conditions needed to use a confidence interval to estimate the population proportion? Explain. c. Find the 90% confidence interval for the population proportion. Show work or calculator input. d. Interpret the 90% confidence interval in context to the problem.