Question

In: Statistics and Probability

A survey was carried out from 120 radio listeners to see the relationship between age and...

A survey was carried out from 120 radio listeners to see the relationship between age and radio station. A summary of their replies is given in the table below

age range
less then 20 20-30 over 30
Commercial 22 16 50
local radio 6 10 16

(i) Formulate the null and alternative hypotheses for the chi-square test.

(ii) At 10% significance level, calculate the degree of freedom of the chi-square

test and state the rejection criteria for the null hypothesis in part (c)(i)

Given that the chi-square statistic from this survey, χ2 is 2.441. At 10% level of significance, is there any relationship between age and radio station?

Solutions

Expert Solution

i) There is no relationship between the two variable.

There is a relationship between the two variable

ii)


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