Question

part b: What is the margin of error in this sample?

part c: Is there any evidence that this proportion has changed since 2012 based on this sample ?

It was reported that 61% of individual tax returns were filed electronically in 2012. A random sample of 175 tax returns from 2013 was selected. From this sample, 111 were filed electronically. Complete parts a through c below. a. Construct a 90% confidence interval to estimate the actual proportion of taxpayers who fled cloctronically 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

Solution Ŝon =0.6343 175 @ Critical value at go confidence interval (2012) = 1.64 Critical value at Conbidence interval: ô t zu s + (1-P) > 0.6343 +1.64x 10.6343 *11-0.6343) 175 3) 0.6343 + 0.0597 = (0.5746, 0.6940) herce lower limit = 10.575) ? Ans upper limit -10.694] © Margin 33 porno (ME) = ZIV Buy ons = 10.0597 Ans C As, we can see the above confidence interval contains the value a 61% of Individut tax Returns heme. There is not enough evidence that this Proportion has changed.