Birds use color to select and avoid certain types of food. The authors of a particular...

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Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior o

H:He is not true. Find the test statistic and critical value. Round your test statistic to three decimal places and your crit

math Statistics-And-Probability

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Answer 1

Answer #1

O HP - P2 = P = p = 0.25 H:He is not true.

applying chi square goodness of fit test:

	relative	observed	Expected	residual	Chi square
Category	frequency(p)	O_i	E_i=total*p	R²_i=(O_i-E_i)/√E_i	R²_i=(O_i-E_i)²/E_i
1	1/4	16	8.25	2.698	7.280
2	1/4	8	8.25	-0.087	0.008
3	1/4	6	8.25	-0.783	0.614
4	1/4	3	8.25	-1.828	3.341
total	1.00	33	33	0	11.24

test statistic X²=		11.242

degree of freedom =categories-1=			3
for 0.01 level and 3 df :crtiical value X2 =			11.34	*from excel: chiinv(0.01,3)*

Fail to reject Ho. There is not convincing evidence that there is a color preference.

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Answer 2

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