I am struggling with these questions and need to see all the work to answer these questions along with the answers.

Instructions: You must show all of your work including: 1. A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 89 people were asked the voter registration question face to face. Of those sampled, seventy-six respondents gave accurate answers (as verified by city records). Another random sample of 90 people were asked the same question during a telephone interview. Of those sampled, eighty-three respondents gave accurate answers. Assume the samples are representative of the general population. At the 95% level, do you detect any difference in the proportion of accurate responses from face-to-face interviews compared with the proportion of accurate responses from telephone interviews(Show your confidence in interval notation and show your interpretation) 2. How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 31 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was sample mean of 14.7. A random sample of 36 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was a sample mean of 9.8. Assume that 61 = 3.4 and 62 = 3.8. At the 95% level of confidence, does it appear that the profit as a percentage of stockholder equity for retail stocks is higher than that for utility stocks? (Show your confidence in interval notation and show your interpretation)