A medical researcher studied a strain of bacteria that is resistant to antibiotics. She prepared 40 cultures of the strain and subjected them all to a new antibiotic. After 48 hours, she classified each culture as either alive or dead. She constructed a 95% confidence interval for the proportion of cultures that are alive after 48 hours and got (0.828, 0.872). Which of the following is the most appropriate way to report or interpret this confidence interval?
Options:
- The chance that 95% of the cultures are alive after 48 hours is between 0.828 and 0.872.
- 95% of the time, the sample proportion of cultures that are alive after 48 hours is between 0.828 and 0.872.
- We are 95% confident that the true proportion of cultures that are alive after 48 hours is between 0.828 and 0.872.
- There is a 95% chance that the true proportion of cultures that are alive after 48 hours is between 0.828 and 0.872.