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A confidence interval was used to estimate the proportion of students at Utah Valley University who...

  1. A confidence interval was used to estimate the proportion of students at Utah Valley University who commute from home to campus more than 10 miles a day. A random sample of 100 students generated the following 95% confidence interval: (0.588, 0.654). Using the information above, what size sample would be necessary to estimate the true proportion to within ± 0.06 using 95% confidence?

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Answer #1

Given, ME=0.06 a=0.05 By default, we should take the proportion value as 0.5. 2 11 Z ME p(1-p) 1.96 0.06 (0.5)(1-0.5) = 266.7

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