Waterfront real estate agents will tell you that the home price for waterfront homes is associated with the size of the home. A random sample of 22 waterfront homes in the Hampton Roads area was collected. The scatterplot and the regression output show the selling price for each home (in thousands of dollars) and the living space (square feet). Note: This image has visual information that cannot be easily described in written text; please consult your Virtual Virginia mentor or another local school official for assistance with this image. APSTATM8test sqrftvsprice.png Coefficients Term Coef SE Coef 95% CI T-Value P-Value Constant 188.1 94.7 (-9.5, 385.6) 1.99 0.061 Area 0.1137 0.0328 (0.0453, 0.1820) 3.47 0.002 A) Using correct notation, write the null and alternative hypothesis for the test to determine if the living area of a waterfront home is positively associated with the selling price of the home in a straight-line fashion. B) Assuming the conditions for inference have been met, calculate the test statistic and p-value for this test. C) Write an appropriate conclusion based on a alpha equals 0.05 significance level