Chi-square test for goodness of fit.

A developmental psychologist would like to determine whether infants display any colour preferences. A stimulus consisting of four colour patches (red, green, blue, and yellow) is projected onto the ceiling above a crib. Infants are placed in the crib, one at a time, and the psychologist records how much time an infant spends looking at each of the four colours. The colour that receives the most attention during a 100-second test period is identified as the preferred colour for that infant. The preferred colours for a sample of 60 infants are shown in the following table:

Do the data indicate any significant preferences among the four colours? Test at the .05 level of significance.