Problem

The displayed \(95\%\) confidence interval is \([0.52,~0.58]\) for a fixed school-student preference proportion. Interpret \(95\%\) confidence using repeated school sampling and interval construction.

A fixed school-population proportion line and several future interval lanes, plus the supplied reported interval 0.52 to 0.58.

Answer choices

Choose your path.

Preview only

If the school's random-sampling and interval method were repeated, about 95% of resulting intervals would capture the true school population proportion.

If the school's random-sampling and interval method were repeated, every resulting interval would capture the true school population proportion.

If the school's random-sampling method were repeated, about 95% of individual student responses would fall between 0.52 and 0.58.

Once [0.52, 0.58] is computed, there is a 95% probability that this fixed interval contains the fixed school population proportion.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

The displayed \(95\%\) confidence interval is \([0.52,~0.58]\) for a fixed school-student preference proportion. Interpret \(95\%\) confidence using repeated school sampling and interval construction.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.