Question

An aquarium manager wants to study gift shop browsing. She randomly observes 120 couples that visit...

An aquarium manager wants to study gift shop browsing. She randomly observes 120 couples that visit the aquarium with children and finds that 107 enter the gift shop at the end of their visit. She randomly observes 76 couples that visit the aquarium with no children and finds that 59 enter the gift shop at the end of their visit. Assuming that the samples are independent, the 95% confidence interval for the difference in population proportions of couples with children that enter the gift shop and couples without children that enter the gift shop is (0.006,0.224). Interpret this interval in context.

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We are 95% confident the difference in sample proportions of couples with children that enter the gift shop and couples without children that enter the gift shop is between 0.6% and 22.4%.

There is a 95% probability the difference in population proportions of couples with children that enter the gift shop and couples without children that enter the gift shop is between 0.6% and 22.4%.

We are 95% confident the difference in population proportions of couples with children that enter the gift shop and couples without children that enter the gift shop is either 0.6% or 22.4%.

We are 95% confident the difference in population proportions of couples with children that enter the gift shop and couples without children that enter the gift shop is between 0.6% and 22.4%.

The difference in population proportions of couples with children that enter the gift shop and couples without children that enter the gift shop is between 0.6% and 22.4% about 95% of the time.

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