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STAT 2507A &acirc;€“ July 29

# STAT 2507A &acirc;€“ July 29 - STAT2507AJuly29...

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1 STAT 2507A – July 29 Jerry Situ 10.1-10.4 Summer 2009

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Exercise Let p be the proportion that have a cell  phone. You do a survey and ask 100 people  if they have a cell phone. 25% of the  respondents say they do. You want to test the  hypothesis: H o : p = 30% vs H a : p   30%.  Calculate the test statistics (AKA the critical  ratio)? 2
Small versus large sample Large sample (chap 9) Small sample (chap 10) What size? (rule of thumb) >=30 <30 Distribution of x-bar (CLT applies) (CLT does not apply) - If original sampled  population is normal Exactly N( µ σ / n) Exactly N( µ σ / n) σ  unknown Approximating with s makes it  approximately N( µ σ / n) Approximating with s makes it NO  LONGER Normal, and not  approximately normal either - If original sampled  population is not  normal Approximately N( µ σ / n) Not normal.

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