A study of 200 insomniacs paid for by the Serta Mattress Companyfound that the average insomniac counted 350 sheep before fallingasleep with a standard deviation of 120. An insomniac is a personwho has difficulty falling asleep. Some useful numbers might be:=NORMSINV(0.89) 1.2265 =NORMSINV(0.945) 1.5982 =TINV(0.89199)0.1385 =TINV(0.11199) 1.6053 =TINV(0.055199) 1.9302 Out of the200 insomniacs 98 reported regularly watching The Late Show withDavid Letterman before they began to count sheep. Calculate themargin of error for a 78% confidence interval of the trueproportion of insomniacs who regularly watch David Letterman beforecounting sheep.A. 0.136B. 0.164C. 0.056D. 0.043