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A research project based on a study of older adults examined the relationship be

ID: 3357360 • Letter: A

Question

A research project based on a study of older adults examined the relationship between physical activity and pet ownership. The data collected included information concerning pet owner characteristics and the type of pet owned. Here are data giving the relationship between pet ownership status and gender. Pet ownership status Gender Non-pet owners Dog owners Cat owners

Female 1023, 157, 86

Male 925, 169, 81

Analyze the data. (Round your 2 to three decimal places and your P-value to four decimal places.)

2 =

df =

P-value =

Summarize your results and conclusions.

a) The relationship between gender and pet ownership is significant.

b) The relationship between gender and pet ownership is not significant.

Explanation / Answer

applying chi square test:

from above  2 = 2.132

df =(rows-1)*(column-1) =(2-1)*(3-1)=2

p value =0.3444

b) The relationship between gender and pet ownership is not significant.

Observed O non pet dog owner cat owner Total female 1023 157 86 1266 male 925 169 81 1175 Total 1948 326 167 2441 Expected E=rowtotal*column total/grand total non pet dog owner cat owner Total female 1010.31 169.08 86.61 1266 male 937.69 156.92 80.39 1175 Total 1948 326 167 2441 chi square =(O-E)^2/E non pet dog owner cat owner Total female 0.1594 0.8626 0.0043 1.026 male 0.1717 0.9294 0.0047 1.106 Total 0.331 1.792 0.009 2.132
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