Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach for weight loss. In a study, 90 patients with Type 2 diabetes underwent this procedure, 68 of whom experienced a recovery from diabetes. You, a surgeon, claim that more than 65% of those with diabetes who undergo this surgery in the population will recover from diabetes. What is the P-value for testing this claim? Do you reject or not reject $H_0$? Use a significance level of $\alpha = 0.05$. State what the result means in this context in a sentence. \newline P-Value = 0.18 > 0.05; Do not reject $H_0$. At 0.05 significance level, there is no evidence to suggest that more than 65% of those who undergo this surgery will recover from diabetes. \newline P-Value = 0.018 < 0.05; Reject $H_0$. At 0.05 significance level, there is evidence to suggest that more than 65% of those who undergo this surgery will recover from diabetes. \newline P-Value = 0.018 < 0.05; Reject $H_0$. At 0.05 significance level, there is no evidence to suggest that more than 65% of those who undergo this surgery will recover from diabetes.
