Question

An archaeologist wanted to compare the results of a survey of two potential dig locations. Suppose that the proportion of samples containing objects of interest in the first dig site is p1 and the proportion of samples containing objects of interest in the second dig site is P2. A study found a 98% confidence interval for P2 p1 to be (-0.007, 0.015). Give an interpretation of this confidence interval. We know that 98% of the objects of interest in the second dig site is between 0.7% less and 1.5% more than the objects of interest in the first dig site. o We are 98% confident that the proportion of samples containing objects of interest is between 0.7% less and 1.5% more in dig site two than dig site one. o We know that 98% of the objects of interest in dig site one is between 0.7% less and 1.5% more than those of dig site two. o We know that 98% of all random samples done on the population will show that the proportion of objects of interest in the second dig site is between 0.7% less and 1.5% more than those of dig site one. We are 98% confident that the proportion of samples containing objects of interest is between 0.7% less and 1.5% more in dig site one than dig site two.

Answer 1

An archaeologist wanted to compare the results of a survey of two potential dig locations. Suppose that the proportion of samples containing objects of interest in the first dig site is p1 and the proportion of samples containing objects of interest in the second dig site is P2. A study found a 98% confidence interval for P2 p1 to be (-0.007, 0.015). Give an interpretation of this confidence interval. We know that 98% of the objects of interest in the second dig site is between 0.7% less and 1.5% more than the objects of interest in the first dig site. We are 98% confident that the proportion of samples containing objects of interest is between 0.7% less and 1.5% more in dig site two than dig site one. We know that 98% of the objects of interest in dig site one is between 0.7% less and 1.5% more than those of dig site two. o We know that 98% of all random samples done on the population will show that the proportion of objects of interest in the second dig site is between 0.7% less and 1.5% more than those of dig site one. We are 98% confident that the proportion of samples containing objects of interest is between 0.7% less and 1.5% more in dig site one than dig site two.

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