Curing Diabetes:Vertical banded gastro plasty is a surgical procedure that reduces the volume of stomach in order to produce weight loss.In a recent study, 82 patients with Type 2 diabetes underwent this procedure and 59 of them experienced recovery from diabetes.Does this study provide convincing evidence that more than 60% of those with diabetes who undergo this surgery will recover from diabetes?(Source: New England Journal of Medicine 357: 753-761).Use 5% significance level.

Perform a hypothesis test using the 5-step process:

a)State Ho and H1 in symbols and in words.Then identify which hypothesis is the claim, and determine the type of test (right-tail, left-tail, two-tail).

b)Determine the critical value and label it --for example z = 1.96 or t = 2.412, etc.

c)Compute the test value.If you are using the p-value method, then include the p-value of the test.

d)Make the decision to Reject Ho or DO not reject Ho.

e)State your complete conclusion in the context of the claim.