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teentextinglab

# teentextinglab - Stephanie Lee November 5 2010 Stats 10...

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Stephanie Lee November 5, 2010 Stats 10: Disc. 2D-Mine 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 1. Population text 1 2 3 4 5 6 7 8 9 10 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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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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teentextinglab - Stephanie Lee November 5 2010 Stats 10...

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