What is the true mean number of states that an average adult in the U.S. correctly identify?

Sample of 36

57%,37%, 43%, 89%, 69%, 63%, 73%, 57%, 63%, 44%, 58%, 82, 46%, 48%, 45%, 39%, 49%, 46%, 48%, 45%, 47%, 48%, 34%, 52%, 36%, 18%, 70%, 88%, 50%, 24%, 40%, 42%, 64%, 74%

Construct a 90% confidence interval for the population mean.

What statistical method did you use, if you use TI calculator please list steps

What conclusion did you reach?

Is this a valid result? Why or Why not?

Give an example, different from this experiment, of how confidence interval estimates could be used as an abuse of statistical concepts and or techniques.