A developmental psychologist would like to determine whether infants 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 is 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.

There is insufficient evidence to suggest that preference exists among the four colors.

Step-by-step explanation:

Xobserved, Xo = 20 __ 12 __ 18 __ 10

Xexpected, Xe = ΣX observed / n = 60 /4 = 15

Test statistic :

χ² = Σ(Xo - Xe)² / Xe

χ² = (20-15)²/15 + (12-15)²/15 + (18-15)²/15 + (10-15)²/15

χ² = 5²/15 + (-3)²/15 + 3²/15 + (-5)²/15

χ² = 4.533

The critical value :

df = n - 1 ; 4 - 1 = 3

χ²critical (0.05, 3) = 7.815

Decison region :

|χ²| < χ²critical ; Fail to reject the null

For this analysis ;

|χ²| < χ²critical ; Fail to reject the Null

Hence, there is insufficient evidence to suggest that preference exists among the four colors

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.