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:

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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 Normal distribution with a mean of  and a standard error of .

 

 

(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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