# Sample2 - Sample Problems Statstics 517 1 In a contingency table 1000 individuals are classified by gender and by whether they favor oppose or have

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

Sample Problems Statstics 517 1. In a contingency table, 1000 individuals are classiﬁed by gender and by whether they favor, oppose, or have no opinion on a complete ban on smoking in public places. The data is the following. Smoking in Public Places Favor Oppose No Opinion Totals Male 258 228 10 496 Female 297 202 5 504 555 430 15 1000 (a) Test the null hypothesis that gender and opinion on smoking in public places are independent at α =0 . 1. Interpret the result in plain English. (b) What is the approximate p -value of the above test? Chi-square percentiles, χ 2 df , α χ 2 2 , 0 . 1 χ 2 2 , 0 . 05 χ 2 2 , 0 . 01 χ 2 6 , 0 . 1 χ 2 6 , 0 . 05 χ 2 6 , 0 . 01 4.60517 5.991465 9.21034 10.64464 12.59159 16.81189 2. Let X 1 , ··· ,X n be a random sample from a geometric distribution with paramater θ , i.e., f ( x ; θ )= θ (1 - θ ) x ,x , 1 , 2 , , 0 <θ< 1 You may consider X as the number of failures before we see the ﬁrst success in a series of independent Bernoulli experiments. The success probability for each trial is θ . 1

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

View Full Document
In (a) and (b) below, you may use the fact that the pdf of Y = n i =1 X i is g ( y ; θ )= Pr ( Y = y ± n + y - 1 n - 1
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 09/10/2009 for the course STATS 517 taught by Professor Song during the Fall '07 term at Purdue University-West Lafayette.

### Page1 / 2

Sample2 - Sample Problems Statstics 517 1 In a contingency table 1000 individuals are classified by gender and by whether they favor oppose or have

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online