2. Based on past data, it is known that about 88.26% of flights are on time. Suppose we take a sample of 500 flights and find that 76.96% of them are on time. We want to see if there is evidence that the percentage of flights that are on-time is decreasing. a. If I wanted to control my margin of error and set it to 1% with 99% confidence, what sample size would I need to take instead of the 500? b. Using my original sample size of 500, what would be the 99% confidence interval for the population proportion? What are the null and alternative hypotheses? d. What is the critical value at 99% confidence? Calculate the test statistic (using the sample of 500). f. Find the p-value. g. What conclusion would be made here at the 99% confidence level? e. I Focus O