Question

The hair color of some randomly selected children from a particular region in Europe are displayed below: Hair Color Frequency dark 7 Fair 15 medium 8 Other 10 (3 points) Do the data provide sufficient evidence to conclude that the true distribution of hair colors in the sampled population deviate from the following percentages? 35% fair, 25% other, 20% medium, 15% dark Use q=0.05. Include R function. p-value and your conclusion.

Answer 1

R CODE:

x<- c(7,15,8,10)
p<- c(0.15,0.35,0.2,0.25)
chisq.test(x,p)

R OUTPUT:

Pearson's Chi-squared test

data: x and p
X-squared = 12, df = 9, p-value = 0.2133

As the p-value is 0.2133, which is more than 0.05, we fail to reject the null hypothesis at 5% level of significance and hence conclude that the true distribution of hair colours in the sampled population is not statistically different from the given percentages at 5% level of significance.

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