Question

In: Statistics and Probability

An article in Journal of Structural Engineering presents the results of an experiment that evaluated a...

An article in Journal of Structural Engineering presents the results of an experiment that evaluated a standard method for estimating the brace force for a truss. In a sample of 360 short test trusses the method underestimated the force for 45 of them, and in a sample of 400 long test trusses, the method underestimated the force for 60 of them. Find a 95% confidence interval for the difference between the underestimation rates for long and short trusses.

Solutions

Expert Solution

Population 1 = long test trusses

Population 2 = short test trusses

Therefore, based on the data provided,95% confidence interval for the difference between the underestimation rates for long and short trusses. p1​−p2​ is −0.024<p<0.074, which indicates that we are 95% confident that the true difference between population proportions is contained by the interval (-0.024, 0.074)


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