A recent survey of students on the question “Do you think the United States should retain or abolish the use of the penny as a coin of currency?” showed that 20 of the 28 students thought that the United States should retain the penny. Consider this class as a random sample of all adults.
a) Find a 95% confidence interval for the true proportion that thinks the United States should retain the penny.
b) The Harris Poll® #51, July 15, 2004 reported that almost 60% of are in favor of retaining the penny. Do the class results differ significantly from this poll’s result? Explain.
c) The poll site stated, “In theory, with probability samples of this size (2,136 adults), one could say with 95% certainty that the results have a sampling error of ±2 percentage points of what they would be if the entire adult population had been polled with complete accuracy.” Is this statement correct? Explain.
I have the proportion for the class of 28. How do I figure the same proportion from the 2135 adults in the poll? Also, is the statement correct in c)?
APPRECIATE any guidance. K