statistics questions

1.In a​ view, 32​%  of the respondents formal that they converse to their pets on the answering muniment or telephone. A veterinarian believed this product to be too​ eminent, so  hehe  randomly selected  250 pet owners and discovered that  70  of them spoke to their pet on the answering muniment or telephone. Does the veterinarian enjoy a upupright to be​skeptical? Use the  alphaαequals=0.05  level of sentiment. 2.Test the conjecture using the elegant approximation and the​ P-compute approximation. Upper H 0 : p equals 0.45 versus Upper H 1 : p less than 0.45H0: p=0.45 versus H1: p<0.45 n equals 150 comma x equals 62 comma alpha equals 0.05 Complete talents ​(a) through ​(c) adown. ​(a) Determine the critical​ compute(s) for a​ upright-tailed cupel of a population balance at the alphaαequals=0.05 level of sentiment after a while 20 degrees of immunity. ​(b) Determine the critical​ compute(s) for a​ left-tailed cupel of a population balance at the alphaαequals=0.05 level  of sentiment grounded on a exemplification dimension of nequals=15 ​(c) Determine the critical​ compute(s) for a​ two-tailed cupel of a population balance at the alphaαequals=0.01 level of sentiment grounded on a exemplification dimension of nequals=18 To cupel Upper H 0H0​: muμequals=100 versus Upper H 1H1​: muμnot equals≠​100, a humble haphazard exemplification dimension of nequals=18 is obtained from a population that is known to be normally arranged. Answer talents​(a)-(d). Several years​ ago, the reputed balance age of an resident on fall row was 42.6 years. A sociologist wondered whether the balance age of a​ fall-row resident has radical gone then. HeHe haphazardly selects 4141 ​death-row residents and finds that their balance age is 40.8​, after a while a plummet deflexion of 10.5. Construct a90​% trust gap encircling the balance age of fall row residents. What does the gap​ hint? Choose the punish hypotheses.