For the week ended January 15, 2009, the bullish sentiment of individual investors was27.6% (AAII Jouranl, February XXXXXXXXXXThe bullish sentiment was reported to be 48.7% oneweek earlier and 39.7%...

For the week ended January 15, 2009, the bullish sentiment of individual investors was27.6% (AAII Jouranl, February 2009). The bullish sentiment was reported to be 48.7% oneweek earlier and 39.7% one month earlier. The sentiment measures are based on a poll conductedby the American Assocation of Individual Investors. Assume that each of the bullishsentiment measures was based on a sample size of 240.a. Develop a 95% confidence interval for the difference between the bullish sentimentmeasures for the most recent two weeks.b. Develop hypotheses so that rejection of the null hypothesis will allow us to concludethat the most recent bullish sentiment is weaker than that of one month ago.c. Conduct a hypotheses test of part (b) using a  .01. What is your conclusion?