{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# TA10 - ECO2121 Methods of Economic Statistics TA10 1 April...

This preview shows pages 1–2. Sign up to view the full content.

ECO2121: Methods of Economic Statistics TA10 1 April 2009 1. Hypothesis Testing (continued) Example: 七成學生領袖曾接觸淫褻物 Given n = 324, x = 233, so ̂ = 0.72. 2. Confidence Interval (Two Populations) Motivation: for X ~ Bernoulli( p X ), p X is the only parameter, we can find both point and interval estimates of p X , as well as conduct hypothesis testing for p X . But if Y ~ Bernoulli( p Y ) independently, can we do the same for p X p Y ? Example 1: if among the 324 students, there are 165 males and 159 females, denote X for male and Y for female, so n X = 165 and n Y = 159, and there are 137 males and 96 females who claim they experience pornographic materials in Internet, construct a 95% C.I. for p X p Y . For a large sample, by CLT, ̂ ~ N ( p X , p X q X / n X ) and ̂ ~ N ( p Y , p Y q Y / n Y ) and assume they are independent (valid?), ̂ − ̂ ~ N ( p X p Y , p X q X / n X + p Y q Y / n Y ). Therefore a 95% C.I. for p X p Y is ( ̂ − ̂ ) ± ̂ + ̂ = 137 165 96 159 ± 1.96 137 165 28 165 165 + 96 137 63 137 137 = [0.1313, 0.3217] (Interpretations? Conclusions?) Example 2: Suppose X

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}