In: Statistics and Probability
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?
i) There is no relationship between the two variable.
There is a relationship between the two variable
ii)