Please explain this as well, I have an test tomorrow! thank you! Comparing Matho
ID: 3337283 • Letter: P
Question
Please explain this as well, I have an test tomorrow! thank you!
Comparing Mathods 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 37 Dog selects cancer33 Dog does not select 70 Total 36 38 74 Table 1 Can dogs smell cancer? Use Stat ey or other technology to use a bootstrap distribution to find a 90% confidence interval for the difference Breath Test types of samples. Stool Test in the proportion of time the dog correctly picks out the cancer sample, between the t Round your answer to three decimal places. The 90% confidence interval is Is it plausible that there is no difference in the effectiveness in the two types of methods (breath or stool)? toExplanation / Answer
Proportion when dogs succesfuly selects a cancer person in breath test p^breath = 33/36 = 0.9167
Proportion when dogs succesfuly selects a cancer person in stool test p^stool= 37/38 = 0.9737
Standard error of proportion of difference = sqrt [p1 * (1-p1)/ n1 + p2 * (1-p2)/n2]
= sqrt [ 0.9167 * 0.0833/36 + 0.9737 * 0.0263/38]
= 0.05287
90% confidenceinterval = (p^stool - p^breath ) +- Z90% sed
= (0.9737 - 0.9167) +- 1.645 * 0.05287
= 0.057 +- 0.087
= (-0.030, 0.144)
As this confidence interval consists value of Zero so we can say that there is no difference in the effectiveness of two methods.