Question #1

A 95% confidence interval for a population proportion yielded the interval (.345, .455).

1. Compute the margin of error.
2. Compute the sample proportion.
3. Will a 90% confidence interval be wider or narrower? Explain.

Question #2

According to recent figures, 6% of college graduates (aged 21-24) are unemployed, which is the lowest rate since before the recession. Suppose we take a random sample of 230 recent graduates (aged 21-24). What is the probability that the unemployment rate is 9% or higher? (This 9% number is significant because it was the unemployment rate for college grads during the recession.) Does it seem like the unemployment rate has improved significantly since the recession? Explain.

Question #3

A Pew Research Center poll of 1007 randomly selected adults showed that 42% of those surveyed feel the Internet is a bad influence on morality.

1. What is the value of n?
2. What is the value of p?
3. Compute the margin of error, E, that corresponds to a 95% confidence level.
4. Compute the 95% confidence interval estimate of the population proportion p.
5. Based on the results, can we safely conclude that more thanhalf of adults feel the Internet is a bad influence on morality?
6. Assuming you are a newspaper reporter, what is a brief statement that accurately describes the results and includes all of the relevant information