Question

Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior o
Find the test statistic and critical value. Round your test statistic to three decimal places and your critical value to two
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Answer #1

Ho: p1=p2=p3=p4

Ha: Ho is not true

Applying chi square test:

           relative observed Expected residual Chi square
category frequency(p) Oi Ei=total*p R2i=(Oi-Ei)/√Ei R2i=(Oi-Ei)2/Ei
1 0.250 15.000 8.500 2.23 4.971
2 0.250 9.000 8.500 0.17 0.029
3 0.250 6.000 8.500 -0.86 0.735
4 0.250 4.000 8.500 -1.54 2.382
total 1.000 34 34 8.118
test statistic X2 = 8.118
for 0.01 level and 3 degree of freedom Critical value= 11.345

fail to reject HO , there is not convincing,,,,,,,,

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