2.1 A market researcher surveys 150 out of 1,200 individuals in a community, finding that 90 prefer online shopping to in-store shopping. The researcher wants to estimate the proportion of online shoppers in the community with a 90% confidence level. 1. Calculate the sample proportion and apply the finite population correction factor to the standard error calculation. 2. Determine the 90% confidence interval for the proportion of online shoppers. 3. Evaluate how the confidence interval would change if the sample were doubled, considering the finite population correction