A recent opinion poll surveyed 1,000 Americans about the age of President Joe Biden, and 70% of respondents think Biden, 81, is too old to serve another term as an effective president. Use the template to answer questions below and upload your file. (Source: https://twitter.com/JoeBiden/status/1726751168511041715Links to an external site.) Q6_Template.xlsxDownload Q6_Template.xlsx a. Calculate 95% confidence interval for the population proportion of people who believe Joe Biden is too old to be an effective president. INTERPRET what you calculated. b. Does the result of the poll convince you that the majority (i.e. more than half) of all Americans think Biden is too for an effective president with 95% confidence level? c. Can you say that more than 70% of all Americans think the same with 95% confidence level? d. How many people would you have to survey to be 99% confident that you can estimate to within 1% the fraction of people (i.e. B = Target half-length of the confidence interval) who believe so? Use 70% of proportion as an estimate for the calculation. Calculate the sample size needed, compare with the initial sample size, and interpret what the new sample size implies. e. Same question with subquestion d, but, this time, we assume that there has been no previous survey so we cannot estimate the proportion to use. So we have to use 50% of proportion as an estimate for the calculation. Calculate the sample size needed, compare with the sample size you calc