1.Suppose you calculate a confidence interval for a population proportion as0.544 < p < 0.624

If the above interval was for an 80% confidence level, what do you think would happen to the interval if we changed that to a 90% confidence level.

Finally, in your own words, what is the purpose of confidence intervals; in other words, why would someone want to calculate a confidence interval?

2.In January 2014, the "polar vortex" swept across the eastern US leading some media outlets to claim this was the "coldest weather in decades" in Baltimore between Jan 6 & Jan 8. It turns out that only 5 years prior, in 2009, Jan 15 - Jan 17 were 5 degrees colder in Baltimore than the coldest temperatures in 2014. Why did these media outlets say it was the "coldest weather in decades"?Many statisticians say that it is a mistake to look at weather temperature records the way that media outlets looked at the Baltimore "record"; why do you think they say this is a "mistake"?

3.