Tattoos (8.2, 9.2) Of the 98 teachers who responded, 23.5% said that they had one or more tattoos.

(a) Construct and interpret a 95% confidence interval for the actual proportion of teachers at the AP® institute who would say they had tattoos.

(b) Does the interval in part

(a) provide convincing evidence that the proportion of teachers at the institute with tattoos is not 0.14 (the value cited in the Harris Poll report)? Justify your answer.

(c) Two of the selected teachers refused to respond to the survey. If both of these teachers had responded, could your answer to part

(b) have changed? Justify your answer.