Question

Q3) The American Pet Products Association conducted a survey in 2011 and deternmined that 60% of dog owners have only one dog, 28% have two dogs, and 12% have three or more. Supposing that you have decided to conduct your own survey and have collected the data below, determine whether your data supports the restults of the APPA study Use a significance level of 0.05 Data: Out of 129 dog owners, 73 had one dog and 38 had two dogs.

Answer 1

H0: Null Hypothesis: Our data supports the results of the APPA study

HA: Alternative Hypothesis: Our data does not support the results of the APPA study

Test statistic $\chi ^{2}$ is calculated as follows:

Category	Observed Frequency (O)	Expected Frequency (E)	(O - E)2/E
One dog	73	129 X 60/100 = 77.4	0.2501
Two dogs	38	129 X 28/100 = 36.12	0.0979
Three or more dogs	18	128 X 12/100 = 15.48	0.4102
Total = $\chi ^{2}$ =			0.7582

$\chi ^{2}$ = 0.7582

df = 3 - 1 = 2

By Technology, P - Value = 0.6845

Since P - Value = 0.6845 is greater than $\alpha$ = 0.05, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data support the claim that our data supports the results of the APPA study.