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 the percentage of those with diabetes who undergo this surgery will recover from diabetes differs from $57 %$ ? Use the $α = 0.01$ level of significance and the $P$ -value method with the TI- 84 Plus calculator.
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Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
$\begin{array}{l} H_{0} : ◻ \\ H_{1} : ◻ \end{array}$
$◻ < ◻ ◻ > ◻ ◻ = ◻$

This hypothesis test is a (Choose one) $\nabla$ test.

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The null hypothesis (H0) and the alternate hypothesis (H1) are as follows: H0: p = 0.57 (The proportion of those with diabetes who recover from diabetes after the surgery is 57%) H1: p ≠ 0.57 (The proportion of those with diabetes who recover from diabetes after the surgery is not 57%) This hypothesis test is a two-tailed test.

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Step 1 ：The null hypothesis (H0) and the alternate hypothesis (H1) are as follows: H0: p = 0.57 (The proportion of those with diabetes who recover from diabetes after the surgery is 57%) H1: p ≠ 0.57 (The proportion of those with diabetes who recover from diabetes after the surgery is not 57%) This hypothesis test is a two-tailed test.

Answer

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