Question

It was reported that 64% of individual tax returns were filed electronically in 2012. A random sample of 275 tax returns from 2013 was selected. From this sample, 178 were filed electronically.

a. Construct a 90% confidence interval to estimate the actual proportion of taxpayers who filed electronically in 2013. A 90% confidence interval to estimate the actual proportion has a lower limit of ______and an upper limit of ________. (Round to three decimal places as needed.)

Answer #1

Let p be the proportion of taxpayers who filed individual tax returns electronically in 2013.

In a random sample of 275 tax returns 178 were filed electronically.

Therefore,

The 90% confidence interval for the true population proportion is given by

. ## using z table Z0.05=1.64

Hence the 90% confidence interval is

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