Cancer detecting dogs A study was designed to determine whet

Cancer detecting dogs. A study was designed to determine whether dogs can be trained to identify urine specimens from individuals with bladder cancer. Dogs were first trained to discriminate urine specimens from patients with bladder cancer or with other conditions. After the training was completed, the dogs had to pick one of the seven new urine specimens. Each had to pick one of the seven urine specimens came from a patient with bladder cancer. Out of 54 trials, the dogs identified the correct urine specimen 22 times.17 if the dogs were simply picking a urine specimen at random, we would expect them to be correct on average 1 out of 7 times. The experiment was designed to test whether dogs can perform better than chance. State the null and alternative hypotheses for this test. Obtain the test statistic and the P-value. What do you conclude?

Solution

a)

Hypothesis:

null hypothesis: Ho : u>1/7

alternate hypothesis : Ha: u <1/7

b)

proportion = 22/54 = 11/27

standard deviation = sqrt( (11/27 * 16/27) / 54) = 0.06686

test statistic = (11/27 - 1/7)/0.06686

= 3.9568

P-value = 1.00

ao, we conclude that there is not enough evidence to accept null hypotheis