Question

an advertising executive claims that there is a difference in the mean household income for credit cardholders of visa gold and of mastercard gold. a random survey of 17 visa gold cardholders resulted in a mean household income of $54,800 with a standard deviation of $9500. a random survey of 11 mastercard gold cardholders resulted in a mean household income of $47,390 with a standard deviation of $10,900. is there enough evidence to support the executives claim? let $mu_1$ be the true mean household income for visa gold cardholders and $mu_2$ be the true mean household income for mastercard gold cardholders. use a significance level of $alpha = 0.02$ for the test. assume that the population variances are not equal and that the two populations are normally distributed. step 1 of 4: state the null and alternative hypotheses for the test. answer 1 point $h_0:mu_1$ $mu_2$ $h_a:mu_1$ $mu_2$ = $
eq$ > < $geq$ $leq$

Explanation:

Step1: Define null hypothesis

The null hypothesis assumes no difference. So, $H_0:\mu_1-\mu_2 = 0$ or $H_0:\mu_1=\mu_2$.

Step2: Define alternative hypothesis

The executive claims there is a difference. So, $H_a:\mu_1
eq\mu_2$.

Answer:

$H_0:\mu_1 = \mu_2$, $H_a:\mu_1
eq\mu_2$