4. (5 points) a. Create a research hypothesis and null hypothesis for level of health and days of poor mental health in past month. State that you will reject the null at an alpha of .01. Poor Health Fair Health Good Health 30 4 1 15 1 0 10 7 4 15 2 2 15 6 2 3 N1=5 N2=5 N3=6 1? i=17 if 2= 4 Y 3= 2 $1 = 7.6 $2= 2.5 $3= 1.4 521=57.5 $22=6.5 $23= Z y1=85 Z y2=20 Z y3=12 z y21 = 1,675 2 y22 = 106 z y23= 34 (Grand Mean) Y =8 Use the data to calculate an F-statistic for the ANOVA Use the fdistribution to determine your critical value for f State whether p is less than or greater than alpha State whether you accept or reject the null hypothesis State whether at least one of the groups has a different average days of poor mental heah \"EDS-09