# Interpretation

• Apr 26th 2011, 10:28 AM
lancelot854
Interpretation
A friend who is taking AP Statistics at another school tells you that they did a problem in class whose answer was a 95% confidence interval for a population proportion of .35 + or - .04 (.35 plus or minus .04). He says that the class agreed on the following interpretation of this interval: "There is a 95% chance that the true value of p is in this interval." Describe how you would explain to your friend that this interpretation is wrong.

All help is appreciated, thanks.
• Apr 26th 2011, 05:10 PM
lancelot854
I've been trying to solve this problem and would the problem lay within the .04? Is there some kind of rule that states with a certain confidence level a certain range must be met? Sorry for the bump, just trying to encourage responses.
• Apr 26th 2011, 05:48 PM
pickslides
You shouldn't bump, in general it won't help have your question answered any quicker.

The correct interpretation is:

The true value of p will fall in 95 out of 100 sampled confidence intervals.
• Apr 26th 2011, 05:53 PM
lancelot854
Thanks for the help, it just seems that this board has less viewers than the Calculus one. :(
• Apr 26th 2011, 05:57 PM
pickslides
In my experience here at MHF, the Mods, Helpers and Experts seem to cover all sub-forums quite evenly.

Or is the Calculus board you speak of in another forum altogether?