Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent clinical study, 82 patients with Type 2 diabetes underwent this procedure, and 65 of them experienced a recovery from diabetes. Does this study provide evidence that more than 70% of those with diabetes who undergo this surgery will recover from diabetes? Use 0.05 as the level of significance.
(a) State the null (H0) and alternate (Ha) hypotheses.
H0:
Ha:
(b) If the null hypothesis is true, the sample proportion, p hat, has approxmately a
(c) Give the standard score (z) for the data.
(d) Find the P-value for this significance test.
(e) Choose the correct decision for this test of significance.
A) Do not reject the null hypothesis
B) Reject the null hypothesis
Selection:
(f) Choose the correct final conclusion in the context of the problem:
A) There is enough evidence to suggest that more than 70% of those with diabetes who undergo vertical banded gastroplasty will recover from diabetes.
B) There is not enough evidence to suggest that more than 70% of those with diabetes who undergo vertical banded gastroplasty will recover from diabetes.
Selection:
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