Question

The results of a survey regarding radio listeners preference for different types (5)
of music are given in the following table with listeners classified by age group.
Test at 5% level of significance whether type of music is dependent on the age
group.
Age Group
Type of Music 19-25 26-35 Above 36
Preferred
National Music 60 60 30
Foreign Music 190 264 96
Indifferent 50 76 74

Answer 1

Answer on Question #46492 - Math - Statistics and Probability

The results of a survey regarding radio listeners preference for different types (5) of music are given in the following table with listeners classified by age group. Test at 5% level of significance whether type of music is dependent on the age group.

Solution

Null hypothesis: Type of Music is not dependent on the Age Group.

Alternative hypothesis: Type of Music is dependent on the Age Group.

Determine degrees of freedom: $(3-1)*(3-1) = 4$

Chi-square test results:

chi-squared = 36.1227, df = 4, p-value = 2.73e-07

p-value < 0.05, it is enough evidence to reject null hypothesis.

R code:

tab <- rbind(c(60,60,30),c(190,264,96),c(50,76,74))

chisq.test(tab)

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