Question

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=0.05, 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: - Elephants: 136 - Lions/Tigers: 158 - Giraffes: 131 - Zebras: 159 - Monkeys: 132 - Birds: 142 - Reptiles: 184 Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each animal exhibit. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. H0: pi = 1/7 Ha: Some exhibits are less popular than others. Step 2 of 4: Calculate the expected value for the number of visitors for the zebras 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 intermediate 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.

          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=0.05, 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:
- Elephants: 136
- Lions/Tigers: 158
- Giraffes: 131
- Zebras: 159
- Monkeys: 132
- Birds: 142
- Reptiles: 184

Step 1 of 4:
State the null and alternative hypotheses in terms of the expected proportion for each animal exhibit. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary.

H0: pi = 1/7
Ha: Some exhibits are less popular than others.

Step 2 of 4:
Calculate the expected value for the number of visitors for the zebras 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 intermediate 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.

Added by Vanessa D.

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