1)
You want to determine the proportion of college
seniors who drive to campus. You take a random sample of 125 seniors and ask
them if they drive to campus. Of the seniors sampled, 0.77 drove to campus.
Your 95% confidence interval turns out to be 0.69 <p < 0.85.
a)
Identify the sample proportion p hat.
b)
Identify the margin error of your confidence
interval.
c)
Consider the interpretation of the confidence
intervals computed for this scenario below: We can be 95% confident that the
proportion of seniors in the same who drive to campus is between 0.69 and 0.85.
Explain why the above statement does not accurately interpret the
confidence interval computed.
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