Chapter 15, Problem 3RE

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

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:

Red | Green | Blue | Yellow |

20 | 12 | 18 | 10 |

**a.**Do the data indicate any significant preferences among the four colors? Test at the .05 level of significance.**b.**Write a sentence demonstrating how the outcome of the hypothesis test would appear in a research report.

**a.**

To determine

**To Find:** Is their significant preferencesamong the four colors at

Explanation

**Given info:**

The data represents the colour preference for a sample of 60 infants and the level of significance is

**Calculations:**

*The test hypotheses are given below:*

*Null Hypothesis:*

*Alternate Hypothesis:*

*Degrees of freedom:*

The degrees of freedom is,

Thus, the degree of freedom is 3.

*Critical value:*

From the Chi-square tabulated value the critical value that corresponds to

*Test statistic:*

The

Hypothetically, the proportion of each colour should be 0.25 each.

The formula to calculate expected frequency is:

Substituting respective values of proportion and

**b.**

To determine

**To explain:** The outcome of hypothesis in correspondence to the report.

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