Researchers constructed two test sheets, each sheet including 20 photos of the faces of dog-owner pairs taken at a dog lovers' field festival. The 20 sets of dog-owner pairs on the two sheets were equivalent with respect to breed, diversity of appearance, and gender of owners. On the first sheet, the dogs were matched with their owners, while on the second sheet, the dogs and owners were deliberately mismatched. Three experiments were conducted, and in all experiments, subjects were asked to "choose the set of dog-owner pairs that resemble each other, Sheet 1 or Sheet 2," and were simply told the aim of the research was a "survey on dog-owner relationships." In the first experiment, the original sheets were shown to subjects; in the second experiment, just the "mouth region" of the owners was blacked out in all the pictures on both sheets; in the third experiment, just the "eye region" of the owners was blacked out. Subjects were assigned at random to the three experimental groups, and in each experiment, the number of subjects who selected the sheet with the dogs and their owners correctly matched was recorded. Experimenters were interested in whether blacking out portions of the face reduced the ability of subjects to correctly match dogs and owners. The results are given in the table. Number Correctly Number of Experiment Subjects Matched Experiment 1 61 49 Experiment 2 (mouth blacked out) Experiment 3 (eyes blacked out) 51 37 60 30 In fact, P-values for two-sided tests are more accurate than those for one-sided tests. Our rule of thumb is a compromise to avoid the confusion of too many rules. SOLVE: Assume the samples can be thought of as an SRS. A hypothesis test can be conducted given that there are more than five successes (correctly identified the pairs) and more than five failures in each sample. Calculate the sample proportion for each group, pi and p2, and the pooled sample proportion p. Give your answers to four decimal places. p₁ = 0.8033 P₂ = 0.5000 p= 0.6529 Compute the test statistic z. Give your answer to four decimal places. -0.9712 Incorrect Using the software of your choice, find the P-value. 0.005 < P < 0.05 P > 0.05 0.0005