Curing diabetes: Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach

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Question

Curing diabetes: Vertical banded gastroplasty is a surgical procedure that reduces the volume of the 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 a recovery from diabetes. Does this study provide convincing evidence that greater than 58% of those with diabetes who undergo this surgery will recover from diabetes? Use the a = 0.10 level of significance and the P-value method with the TI-84 calculator. Source: New England Journal of Medicine 357:753-761

State the null and alternate hypotheses.

Но: р (select)______

 H1 p (select) ______

This hypothesis test is a (select) test

 

We are given that: Sample size = n = 82 patients with type 2 Diabetes.
x = Number of patients experienced a recovery from diabetes = 59.
We have to test if this study provide convincing evidence that greater than 58% of those with diabetes who undergo this surgery will recover from diabetes.
Level of significance =\alpha = 0.10
We have to use p-value method with TI 84 plus calculator.

Step 1) State H0 and H1:

H0: p = 0.58

H1: p > 0.58