state the null and alternative hypothesis, value of t test, the decision rule for rejecting the null hypothesisH0, and the tests conclusion.

An advertising executive claims that there is a difference in the mean household income for credit cardholders ofVisa Gold and of MasterCard Gold. A random survey of 12 Visa Gold cardholders resulted in a mean household income of $73,540 with a standard deviation of $9500. A random survey of8 MasterCard Gold cardholders resulted in a mean household income of $63,360 with a standard deviation of $8500. Is there enough evidence to support the executive's claim? Let p1 be the true mean household income for Visa Gold cardholders and p2 be the true mean household income for MasterCard Gold cardholders. Use a signicance level of a = 0.05 for the test. Assume that the population variances are not equal and that the two populations are normally distributed