04_09_2 - 1. Alex buys a package of Sour Jelly Beans. On...

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

View Full Document Right Arrow Icon
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. a) Is there enough evidence to conclude that the true proportions are different from the ones listed on the package? Use α = 0.05. H 0 : p 1 = 0.50, p 2 = 0.30, p 3 = 0.20. H 1 : not 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 . 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 3 – 1 = 2 degrees of freedom. 2 05 . 0 ( 2 ) = 5.991 . Q 2 = 4.0 < 5.991 = 2 α χ . Do NOT Reject H 0 . b) Assuming that the proportions listed on the package are correct, and that jelly beans are selected at random, what is the probability of having 15 lemon, 9 cherry and 12 lime jelly beans in a package? 12
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 / 3

04_09_2 - 1. Alex buys a package of Sour Jelly Beans. On...

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