Statystyka testowa i wartość prawdopodobieństwa w teście chi-kwadrat (z tabelami dwukierunkowymi)

Możesz potrzebować: Kalkulatora,Tabela chi-kwadrat

A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with

3

toys, identical except that each was a different color, and recorded which toy the dog played with the most in a set time period. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts):

Chi-square test: Breed vs. toy color
	Yellow	Purple	Black	Total
Beagle	$16$ ‍	$30$ ‍	$14$ ‍	$60$ ‍
	$24$ ‍	$23$ ‍	$13$ ‍
Collie	$27$ ‍	$23$ ‍	$10$ ‍	$60$ ‍
	$24$ ‍	$23$ ‍	$13$ ‍
Husky	$29$ ‍	$16$ ‍	$15$ ‍	$60$ ‍
	$24$ ‍	$23$ ‍	$13$ ‍
Total	$72$ ‍	$69$ ‍	$39$ ‍	$180$ ‍

They want to use these results to carry out a

χ^{2}

test for homogeneity. Assume that all conditions for inference were met.

What are the values of the test statistic and P-value for their test?

Statystyka i prawdopodobieństwo

Kurs: Statystyka i prawdopodobieństwo > Rozdział 14

Zadanie