According to a recent survey of1300people,65%feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job.

NOTE: If you are using a Student'st-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

• Construct a 90% confidence interval for the population proportion of people who feel the president is doing an acceptable job.
• (i) State the confidence interval. (Round your answers to four decimal places.)
• (iii) Calculate the error bound. (Round your answer to four decimal places.)