A pediatrician wants to determine the relation that may existbetween a​ child's height and head circumference. She randomlyselects 5 children and measures their height and headcircumference. The data are summarized below. A normal probabilityplot suggests that the residuals are normally distributed. Completeparts​ (a) and​ (b) below. Height​ (inches), x 27.75 25 27 26 26.5Head Circumference​ (inches), y 17.6 16.9 17.5 17.3 17.3 ​(a) Usetechnology to determine s Subscript b 1. s Subscript b 1equalsnothing   ​(Round to four decimal places as​ needed.) ​(b) Testwhether a linear relation exists between height and headcircumference at the alphaequals0.01 level of significance. Statethe null and alternative hypotheses for this test. Choose thecorrect answer below. A. Upper H 0​: beta 0equals0 Upper H 1​: beta0not equals0 B. Upper H 0​: beta 0equals0 Upper H 1​: beta 0greaterthan0 C. Upper H 0​: beta 1equals0 Upper H 1​: beta 1not equals0 D.Upper H 0​: beta 1equals0 Upper H 1​: beta 1greater than0 Determinethe​ P-value for this hypothesis test. ​P-valueequals nothing​(Round to three decimal places as​ needed.) What is the conclusionthat can be​ drawn? A. Reject Upper H 0 and conclude that a linearrelation does not exist between a​ child's height and headcircumference at the level of significance alphaequals0.01. B.Reject Upper H 0 and conclude that a linear relation exists betweena​ child's height and head circumference at the level ofsignificance alphaequals0.01. C. Do not reject Upper H 0 andconclude that a linear relation does not exist between a​ child'sheight and head circumference at the level of significancealphaequals0.01. D. Do not reject Upper H 0 and conclude that alinear relation exists between a​ child's height and headcircumference at the level of significance alphaequals0.01.