17. * (90 points) Based on the average predictions of 36 economists, the U.S. gross domestic product "GDP) will expand by 3 percentage points this year. Suppose the sample standard deviation of their prediction was 4 percentage points. At the 5% significance level, test if the mean forecast GDP of all economists is more than 2 percentage points, Please follow the steps in a-d and shov all your work. (note: this is a test of a population mean) a. State the null and alternative hypotheses. Ho: MLO. 2 HA M 70.2' a HAM TO.2 b. Calculate the value of the test statistic. (Round final answer to 4 decimal places) Test Statistic ( DI -6 ) | CD2/ SaRT (12)) (0:3(2 ) 4/ SQRT ( 36) 0. 3333 0 . 3LASTS ALL YEAR GUARANTEED! + FOLDE meal c. Find the p-value (Round final answer to 4 decimal places) 1 - Norm. Dist ( 0. 3333 , 35 ) 1- T. Dist. RT ( 0. 3333, 35 )c. Find the p-value (Round final ans 1 - Norm . Dist (o. 33 33 , 35 ) 1 - T. Dist. RT ( 0.3333, 35) - 3 0.629 6 d. At the 5% significance level, can we conclude that the mean forecast GDP of all e more than 2%? Explain. At the 5% level of Signilance, we can Conclude that the man forecast is more than 2 %o