10_31_11_2ans

10_31_11_2ans - STAT 409 1. Fall 2011 Examples for...

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

View Full Document Right Arrow Icon
STAT 409 Examples for 10/31/2011 Fall 2011 1. Alex buys a package of Sour Jelly Beans. On the package, it says that 50% of all jelly beans are lemon, 30% are cherry, and 20% are lime. When Alex opens the package, he finds 15 lemon, 9 cherry and 12 lime jelly beans. Is there enough evidence to conclude that the true proportions are different from the ones listed on the package? Use α = 0.05. a) State H 0 and H 1 . H 0 : p 1 = 0.50, p 2 = 0.30, p 3 = 0.20. H 1 : not H 0 . b) Find the expected frequencies under H 0 . n = 15 + 9 + 12 = 36. E 1 = n p 10 = 36 × 0.50 = 18 . E 2 = n p 20 = 36 × 0.30 = 10.8 . E 3 = n p 30 = 36 × 0.20 = 7.2 . c) Calculate the values of the Q test statistic. 1 2 3 Total O 15 9 12 36 E 18 10.8 7.2 36 ( ) E E O 2 - ( ) 18 18 15 2 - ( ) 10.8 8 . 10 9 2 - ( ) 7.2 2 . 7 12 2 - 0.5 0.3 3.2 4.0 d) Find the critical value 2 α χ . 3 – 1 = 2 degrees of freedom. 2 05 . 0 χ ( 2 ) = 5.991 .
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

10_31_11_2ans - STAT 409 1. Fall 2011 Examples for...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online