SOLUTION: This is a statistics homework question, I'm a bit lost on how to go about it. I would greatly appreciate the help: In 2014, 6% of the cars sold had a manual transmission. A rand

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Question 1175850: This is a statistics homework question, I'm a bit lost on how to go about it. I would greatly appreciate the help:
In 2014, 6% of the cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 122 cars, 26 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Sample mean = 26/122 = .213



ME = z%2Asqrt%28%28p%281-p%29%29%2Fn%29



Me = 1.645%2Asqrt%28%28.213%28.787%29%29%2F122%29 = ±  .061



.213 - .061< mu < .213 + .061

     .152 < mu < .274