A financial analyst would like to study whether there is a difference in credit card debt for married couples renting a home versus owning a home. The financial analyst collected a random sample of married couples renting and married couples owning a home and recorded their credit card debt. The summary statistics (in dollars) are shown in the following table.

Assume that the credit card debt amounts are normally distributed and that the population variances are not equal. At the 0.01 level of significance, is there sufficient evidence that the mean amount of credit card debt for married couples renting a home is different from the mean for married couples who own a home?

Let 1 represent the mean for married couples renting a home and 2 represent the mean for married couples owning a home.

Credit card debt for renters (in dollars)	Credit card debt for owners (in dollars)
x1=4.4	x2=3.9
s1=0.8	s2=0.6
n1=16	n2=12

Identify the null and alternative hypotheses.

Provide your answer below:

Null hypothesis: $\mu_1$1 $\mu_2$2

Alternative hypothesis: $\mu_1$1 $\mu_2$