A civics education organization wants to know whether Americans know enough about the U.S. Constitution. To gauge how much American adults know about the U.S. Constitution, the organization gives a 10-question quiz to a random sample of 1,788 American adults. According to the organization, the benchmark is getting 6.5 or more questions correct. The mean score on the quiz is 6.83. The standard deviation of quiz scores is 3.35 correct answers.
Calculate and write down the 95% CIs for the mean number of correct answers on the quiz. Based on your analysis, can the organization be 95 percent confident that Americans exceed the benchmark? Explain your answer.