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

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.

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

Summarize your results and conclusions.

The relationship between gender and pet ownership is significant.

The relationship between gender and pet ownership is not significant.

Pet ownership status Gender      Non-pet owners      Dog owners      Cat owners Female      1022      154      85 Male      918      170      81

Explanation / Answer

Ans:Chi square test of independence:

Null hypothesis H0:The relationship between gender and pet ownership is not significant or are independent.

Alternate Hypothesis HaThe relationship between gender and pet ownership is significant or are not independent

Expected Count=(row sum* column sum)/total sum

Chi square=sum((Observedi-Expectedi)^2/Expectedi))

Observed

degree of freedom=(2-1)*(3-1)=2

p value for Chi square score of 2.98 and df=2 is 0.2254

p-value=0.2254

Assume significance level 0.05

As, p-value>0.05,We fail to reject null hypothesis i.e the relationship between gender and pet owner is not significant or both variables are independent.

Gender Non-pet owners Dog owners Cat owners Female 1022 154 85 1261 Male 918 170 81 1169 1940 324 166 2430 Expected Pet ownership status Gender Non-pet owners Dog owners Cat owners Female 1006.72 168.13 86.14 1261 Male 933.28 155.87 79.86 1169 1940 324 166 2430 Chi square =0.23 1.19 0.02 0.25 1.28 0.02 Total Chi square 2.98

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