A recent article concerning bullish and bearish sentiment about the stock market reported that 41% of investors responding to an American Institute of Individual Investors(AAII) poll were bullish on the market and 26% were bearish. The article also reported that the long-term average measure of bullishness is .39 or 39%. Suppose the AAII poll used a sample size of 450. Using .39 as the population proportion of investors that are bullish, conduct a hypothesis test to determine if the current proportion of investors that are bullish is significantly greater that the long-term average proportion.
a. State the appropriate hypotheses for your significance test.
b. Use the sample results to compute the test statistic and the p-value.
c. Using a=.10 what is your conclusion?