A medical researcher studied a strain of bacteria that is resistant to antibotic

Question

A medical researcher studied a strain of bacteria that is resistant to antibotics. She prepared 40 cultures of the strain and subjected them all to a new antibotic. 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?

The chance that 95% of teh cultures are alive after 48 hours is between 0.828 and 0.872

95% of the time, the sample proportion of culutres 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 culutres that are alive after 48 hours is between 0.828 and 0.872

Explanation / Answer

Interpretation: We are 95% confident that the true proportion of cultures that are alive after 48 hours is between 0.828 and 0.872 should be the most appropriate way to report or interpret the confidence interval for single prportion.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.