Unit B, Review Exercise B.28 Your answer is partially correct. Try again. Compar

Question

Unit B, Review Exercise B.28 Your answer is partially correct. Try again. Comparing Methods for Having Dogs Identify Cancer in People In a study, scientists train dogs to smell cancer. Researchers collected breath and stool samples from patients with cancer as well as from healthy people. A trained dog was given five samples, randomly displayed, in each test, one from a patient with cancer and four from healthy volunteers. The results are displayed in Table 1. Breath Test Stool Test Total 70 4 74 37 Dog selects cancer 33 Dog does not select 3 cancer Total 36 38 Table 1 Can dogs smell cancer? Use StatKey or other technology to use a bootstrap distribution to find a 90% confidence interval for the difference (Breath Test-Stool Test) in the proportion of time the dog correctly picks out the cancer sample, between the two types of samples Click here to access Statkey. Round your answer to three decimal places. 0.057 0.105 The 90% confidence interval is to Is it plausible that there is no difference in the effectiveness in the two types of methods (breath or stool)? Yes

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions

90% confidence interval results:

Hence,

90% confidence interval will be:

-0.144 to 0.030

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 33 36 37 38 -0.057017544 0.052879203 -0.14399609 0.029961005

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