A recent study by the World Art Association wished to determine whether there was a relationship between the price of an artistic painting and its age. Their study used 65 (n) paintings of various ages. Letting Y be the price of a painting ($ million) and X be the age of the painting (years), the following relationship between the two variables was estimated. Standard errors of bo and b1 are reported in parentheses under the coefficients for bo and b1 Yhat = 5.358 - 0.0052 X (1.380) (0.0030) To test the significance of the relationship, a 5% level of significance was adopted. 1. State the direction of the alternative hypothesis used to test the statistical significance of the relationship. Type gt (greater than), ge (greater than or equal to), It (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. 2. Using the required statistical table, determine the critical value (in absolute terms) to three decimal places. 3. Calculate the test statistic, reporting your answer to two decimal places. 4. Is the null hypothesis rejected for this test? Type yes or no. ? 5. Disregarding your answer in part 4, if the null hypothesis was not rejected, would there appear to be a linear relationship between painting price and age? Type yes or no