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A website reported that 32% of drivers 18 and older admitted to texting while dr

ID: 3179973 • Letter: A

Question

A website reported that 32% of drivers 18 and older admitted to texting while driving in 2009. In a random sample of 200 drivers 18 years and older drawn in 2010, 42 of the drivers said they texted while driving. Complete parts a through c below. A. Construct a 98% confidence interval to estimate the actual proportion of people who texted while driving in 2010. A 98% confidence interval to estimate the actual proportion has a lower limit of ______ and an upper limit of _____ B. What is the margin of error for this sample?

Explanation / Answer

A) here phat =42/200=0.21

hence std error =(p1(1-p)/n)1/2 =0.0288

also for 98% CI, z=2.326

hence confidence interval =p +/- z*std errorr

lower limit =0.143

upper limit =0.277

margin of errror =z*std error =0.067

please revert as I have used p as 0.21 for estimation,

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