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A health research company was engaged to test the accuracy of COVID-19 test kits used in...

A health research company was engaged to test the accuracy of COVID-19 test kits used in Queensland. A sample of 50 test kits was analysed to see whether they gave the correct test result. An interval estimate of 0.46 to 0.70 was found for the population proportion of test kits which gives the correct test result. What is the level of confidence used for this test? (Answer as a percentage to two decimal places. Do not include the % symbol).

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Solution:- The level of confidence used for this test = 91.44%

The confidence interval = (0.46,0.70)

M.E = Upper bound - Sample proportion

M.E = 0.70 - 0.58

M.E = 0.12

The level of confidence used for this test = (1 - 0.0856)*100%

The level of confidence used for this test = (0.9144)*100%

The level of confidence used for this test = 91.44%

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