3. [3 pts] Your friend Gayle is working on her Achieve assignment but keeps getting an answer wrong. She shows you her work hoping that you can either find her error or help you construct a strongly worded email to Achieve to let them know their program isn't working. You are asked to find a 99% confidence interval for the difference in proportion of dogs and cats that like to snuggle. In a survey of 96 dog owners, 81 reported that their dogs like to snuggle. In an independent survey of 63 cat owners, 24 reported that their cats like to snuggle. Gayle has created the following confidence interval: 81 24 105 105 96 63 + 2.576 * + 159 159 96 63 Has Gayle made a mistake? If yes, help her fix it. If not, help her write a nice email to Achieve explaining why her answer is correct