Yancy is a pet enthusiast and wants to know if Wacoans feel the same about pets

ID: 3231699 • Letter: Y

Question

Yancy is a pet enthusiast and wants to know if Wacoans feel the same about pets as the rest of United States. According to the National Pet Association, the percentages of people whose favorite pet is a dog is 35%, the percent of people whose favorite pet is a cat is 20 %, the percent of people whose favorite pet is a bird is 11%, and 'other pets' makes up the remaining 34% (They throw turtles, hamsters, lizards, snakes, etc in the same category). Yancy Polls 1000 Wacoans and the results are given in the table below Can Yancy conclude that the Wacoan's preference matches the national percentages? at 5% significance, test using a full hypothesis test. The JMP code is provided on the next page.

Explanation / Answer

Answer:

Ho: Wacoan’s preference matches with national preference.

H1: Wacoan’s preference not matches with national preference.

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

432

350.000

82.000

19.211

141

200.000

-59.000

17.405

110.000

-34.000

10.509

351

340.000

11.000

0.356

Total

1000

1000.000

47.481

chi-square

0.0000

p-value

Critical chi square value =7.815 at 5% level.

Calculated chi square=47.481 > 7.815 critical value.

Ho is rejected.

We conclude that Wacoan’s preference not matches with national preference.