Question

University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence interval estimating the proportion of students supporting the fee increase is (0.75; 0.85), what conclusion can be drawn

Answer 1

We are 95% sure that the true proportion of students that supports a fee increase is between 0.75 and 0.85.

Explanation:

The interpretation of a x% confidence interval of proportions being between a and b is that:

We are x% sure that the true proportion of the population is between a and b.

If the 95% confidence interval estimating the proportion of students supporting the fee increase is (0.75; 0.85), what conclusion can be drawn

We are 95% sure that the true proportion of students that supports a fee increase is between 0.75 and 0.85.