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Conclusions in a goodness-of-fit test

AP.STATS: DAT‑3 (EU), DAT‑3.J (LO), DAT‑3.J.1 (EK)


When Silvia feeds her cat, she places food in 3 different locations. She wondered if her cat was equally likely to eat first from each of the locations, so she tallied which location her cat chose first in a sample of 30 feedings. Here are the results along with a chi-square goodness-of-fit test:
LocationKitchenBedroomLiving room
Hypothesized0, point, 3330, point, 3330, point, 333
Components0, point, 90, point, 93, point, 6
\chi, squared, equals, 5, point, 4, comma, start text, space, D, F, end text, equals, 2
start text, P, negative, v, a, l, u, e, end text, equals, 0, point, 067
Assume that all conditions for inference were met.
At the alpha, equals, 0, point, 05 significance level, what should Silvia conclude about her cat's feeding preferences?
Choose 1 answer: