1. The color vision of birds plays a role in their foraging behavior. Birds use

Question

1.

The color vision of birds plays a role in their foraging behavior. Birds use color to select and avoid certain types of food. In an area painted white, they inserted four pins with different colored heads. The color of the pin chosen on the bird’s first peck was noted for each of 40 one-day-old birds.

If you were to conduct a test,at the .05 level of significance,to determine if the color of pin chosen for the bird’s first peck differs among the four colors, what is the value of the test statistic you would compute from this data?

a) 5.555

b) 3.140

c) 6.200

d) 8.333

color blue green yellow red frequency 16 10 9 5

Explanation / Answer

here applying chi square goodness of fit test:

option C is correct

Frequency frequency fe Chi square value(x) P(x) fo =fo*P(x) =(fo-fe)2/fe blue 0.2500 16 10.00 3.600 green 0.2500 10 10.00 0.000 Yellow 0.2500 9 10.00 0.100 red 0.2500 5 10.00 2.500 40 40.00 6.20

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