Can dogs smell cancer? To answer this question, an experiment was conducted in which 80 dogs were each presented with seven urine samples. The dogs were taught to indicate a cancer sample by lying besides it. Six of the seven samples used in the experiment were from healthy (non-cancer) patients and one sample came from a patient with bladder cancer. 19 of the dogs in the experiment correctly identied the cancer sample. The other dogs picked a sample that came from a healthy patient. (a) Identify (in words) the population parameter of interest in this problem (i.e., is this a problem about a mean ,u. or a proportion p)? What does the parameter stand for, (e.g., mean of what, proportion of what?) (b) Formulate the null hypothesis and alternative hypothesis for this example. Write both twice - once using complete English sentences (about dogs and cancer) and once in form of an equation involving the symbol you dened in (a). (c) Dene an appropriate test statistic for this problem and state the value of the test statistic for this experiment. State the exact distribution of this test statistic if the null hypothesis is true. Do not use large sample approximations to approximate the distribution of the test statistic. (d) Compute the pvalue for this test (you may use your calculator, a table from a book, R, or Excel). (e) Interpret your pvalue (at a signicance level of your choice) and formulate a conclusion sentence