A developmental psychologist would like to determine whether infant , display any color preferences. A stimulus consisting of four color 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 each infant spends looking at each of the four colors. The color that receives the most attention during a 100-second test period n identified as the preferred color for that infant. The preferred colors for a sample of 60 infants are shown in the following table:
To Find: Is their significant preferencesamong the four colors at
The data represents the colour preference for a sample of 60 infants and the level of significance is .
The test hypotheses are given below:
There is no significant preference for the four colours.
There is a significant preference for the four colours.
Degrees of freedom:
The degrees of freedom is,
Thus, the degree of freedom is 3.
From the Chi-square tabulated value the critical value that corresponds to and is 7.815.
Hypothetically, the proportion of each colour should be 0.25 each.
The formula to calculate expected frequency is:
Substituting respective values of proportion and in the above formula:
To explain: The outcome of hypothesis in correspondence to the report.
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