A researcher wanted to study the tendency of our choices to be influenced by our environment, so she conducted an experiment. The researcher recruited 90 volunteers. She randomly assigned 30 to sit in a room with red walls, 30 to sit in a room with yellow walls, and 30 to sit in a room with orange walls. After sitting in the room doing mundane activities, she offered them all a snack of strawberries, bananas, or oranges. For each individual, she recorded which room the participant was in and which snack they chose. The data are displayed in the table.



The researcher would like to know if these data provide convincing evidence that the distribution of snack choice differs for the various room colors in the population of all volunteers like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5.



What is the value of the chi-square test statistic and P-value of this test?

Find the chi-square table here.

χ‑2 = 10.90. The P-value is between 0.02 and 0.025.
χ‑2 = 10.90. The P-value is between 0.20 and 0.25.
χ‑2 = 11.25. The P-value is between 0.02 and 0.025.
χ‑2 = 11.25. The P-value is between 0.20 and 0.25.