Highland is a nice town, but recently many families have been moving to Lawndale. Researchers are interested in how this has impacted household incomes. To investigate, they draw random samples of households in each city. In a sample of 619 Lawndale households, the average household income was $62,104 (s= $4723). In a sample of 530 Highland households, the average household income was $61,281(s= $4549). Next, the researchers want to see if this study provides statistically significant evidence that the average household income in Lawndale is higher than the average household income in Highland. Use =0.05. g. What are the null and alternative hypotheses? h. What is the standardized test statistic (t)? Round to three decimal places. i. What distribution would you use to get the p-value? Include df if appropriate. j. What is the p-value? Round to three decimal places. k. What is the formal decision of the test, using =0.05? l. What can you conclude in context, using =0.05? m. Would this finding be statistically significant at =0.1? How about =0.01? n. Prior to preforming the hypothesis test, did you have any reason to believe that you would / wouldn't have a statistically significant finding at =0.1? Why or why not