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.

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.

Observed frequencies Credit card owned Age group American Express Visa Mastercard 18 years to 50 years 10 48 34 Greater than 50 years 38 35 80 Expected frequencies Age group American Express Visa Mastercard 18 years to 50 years 18.02 31.17 42.81 Greater than 50 years 29.98 51.83 71.19Baby CHIS Age group American Express Visa Mastercard 18 years to 50 years 3.57 9.09 1.81 Greater than 50 years 2.15 5.47 1.09