The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.005, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others.
Animal Exhibits at the Zoo
Elephants
Lions/Tigers Giraffes
Zebras Monkeys
Birds Reptiles
Number of visitors 152
175
185 144
145
171 163
Step 2 of 4: Calculate the expected value for the number of visitors for the birds exhibit. Enter your answer as a fraction or a decimal rounded to three decimal places.
Step 3 of 4: Compute the value of the test statistic. Round any calculations to at least six decimal places and round your final answer to three decimal places.
Step 4 of 4: Draw a conclusion and interpret the decision. Reject or fail to reject and is there enough evidence?