Stephanie Lee
November 5, 2010
Stats 10: Disc. 2DMine
1: Summarize the question being answered or the problem being solved in the lab.
If you know the proportion of teens in a sample who text daily, how far away is this likely to be
from the proportion of teens in the population who text daily?
2: Briefly describe the data and study type.
For this study there was no real data collected (other than the Pew data mentioned); thus the
study is just a simulation in which we attempted to use the proportion of all teens that send/re
ceive texts every day from a sample of youths to estimate a population proportion.
3: Briefly describe the analysis techniques you applied.
We first took 100 samples of the same size and recorded the sample proportion for each sample
in a sampling distribution and then we compared the variability and accuracy of our estimates of
population proportions for different sample sizes to see how a larger sample size allows for a
lower margin of error from the true proportion of the teenage population who text daily.
4: Provide a conclusion in plain language.
In comparing sampling distributions of different sample sizes, we found that a larger sample size
yields sampling proportions closer to the true proportion of the population (lower overall variab
ility).
5: Describe a real world decision that might be influenced by your conclusion.
After seeing these results, we can expect statisticians trying to estimate the true proportion of a
particular characteristic for a given population to take larger sample sizes in order to determine
an estimate more accurately
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Population
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a) Sampling Distribution of 100 teen text cases:
When n=10, the typical distance of the sample proportion is 2 standard deviations or .257384
away from the assumed population proportion.
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 Spring '08
 Ioudina
 Statistics, Standard Deviation, assumed population proportion, Stephanie Lee

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