A public health official is planning for the supply of influenza vaccine needed for the upcoming flu season. She took a poll of 280 local citizens and found that only 113 said they would be vaccinated.
1. Assuming that the population of the city is very large, construct the 91% confidence interval for the true proportion of people who plan to get the vaccine and provide the lower and upper bound of the confidence interval.
2. Now, assume that the town’s population is 1,400. Construct the 91% confidence interval and provide the lower and upper bound of the confidence interval
3. How would you be wrong if the town’s population was in fact 1,400 but you computed the confidence interval not taking into account the finite population correction factor? Explain.