Suppose a study estimated that 62% of the residents of a community (with an
error range of +9 percentage points at 95% confidence) favor replacing the
playground equipment. which of the following percentages of the
community's residents may favor replacing the playground equipment?

D. 55%

Step-by-step explanation:

The error range ± 9% means that the range is 9% below 62% or 9% above 62%.

The range is:

(62% - 9%) to (62% + 9%)

53% to 71%.

The only answer between 53% and 71% is 55%.

Answers A, B, C are all greater than 71%.

Matched samples

Step-by-step explanation:

A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.