Research was done to compare individuals holding one of three types of credit card and their age group.Results are summarized below. Note that the conditions have been satisfied andDO NOT need to be checked.

Observed frequenciesCredit card ownedAge groupAmerican ExpressVisaMastercard18 years to 50 years104834Greater than 50 years383580Expected frequenciesAge groupAmerican ExpressVisaMastercard18 years to 50 years18.0231.1742.81Greater than 50 years29.9851.8371.19Baby CHISAge groupAmerican ExpressVisaMastercard18 years to 50 years3.579.091.81Greater than 50 years2.155.471.09

A)Write down the hypotheses to test for independence.

B)Test your hypotheses at the 10% level of significance, by giving the calculated test statistic, giving thecritical value, giving your decision and conclusion.