The 95% confidence interval for the proportion of all high school students who had smoked cigarettes in the past year, was found to be (0.496, 0.594). Suppose that an error was made in recording the survey data and that instead of 218 students, the actual number of students who indicated that they had smoked cigarettes in the past year was 318 students. How would the 95% confidence interval change?

Question

The 95% confidence interval for the proportion of all high school students who had smoked cigarettes in the past year, was found to be (0.496, 0.594).  Suppose that an error was made in recording the survey data and that instead of 218 students, the actual number of  students who indicated that they had smoked cigarettes in the past year was 318 students. How would the 95% confidence interval change?

A.
The width of the confidence interval would be wider

B.
The width of the confidence interval would be narrower

C.
The width of the confidence interval would be the same

GPT 3.5 · Answer

A. The width of the confidence interval would be wider