It was reported that 61% of individual tax returns were filed electronically in 2012. A random...

It was reported that 61% of individual tax returns were filed electronically in 2012. A random sample of 325 tax returns from 2013 was selected. From this sample,

233 were filed electronically.

a. Construct a 99% confidence interval to estimate the actual proportion of taxpayers who filed electronically in 2013.

A 99% confidence interval to estimate the actual proportion has a lower limit of __ and an upper limit of ___

Solutions

Expert Solution

We have given,

x=233
n=325
Estimate for sample proportion=0.7169
Level of significance is =1-0.99=0.01
Z critical value(using Z table)=2.576

Confidence interval formula is

=(0.6525,0.7813)

Lower limit for confidence interval=0.6525

Upper limit for confidence interval=0.7813

A 99% confidence interval to estimate the actual proportion has a lower limit of 65.25% and an upper limit of 78.13%

orchestra answered 1 year ago

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It was reported that 61​% of individual tax returns were filed electronically in 2012. A random...

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It was reported that 61% of individual tax returns were filed electronically in 2012. A random...