a. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of cats and dogs. Dogs Cats Total Old 40 70 110 10 30 40 Young Total 50 100 150 Test-statistics Z= 08-0.7 0.7333x(1-0.7333)x(+)

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a. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the
cats and dogs.
Dogs
Cats
Total
Old
40
70
110
Young
10
30
40
Total
50
100
150
Test-statistics
Z=
-p)
0.8-0.7
/0.7333>
|-0,
=1. 3055
P-Value
P – Value = 2 x P (Z > 1.3055)
=2 x 0.0959
=0. 1918
Conclusion
P-value 0.1918 is greater than the level of significance 0.05, therefore do not reject the null
hypotheses. null hypotheses is accepted. Therefore the probability of being old in dogs and
cats is equal.
Find the power test and how many animals should be included in the study to repeat the test with the same
significance as calculated in part a and %20 more power than calculated ?
Transcribed Image Text:a. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs. Dogs Cats Total Old 40 70 110 Young 10 30 40 Total 50 100 150 Test-statistics Z= -p) 0.8-0.7 /0.7333> |-0, =1. 3055 P-Value P – Value = 2 x P (Z > 1.3055) =2 x 0.0959 =0. 1918 Conclusion P-value 0.1918 is greater than the level of significance 0.05, therefore do not reject the null hypotheses. null hypotheses is accepted. Therefore the probability of being old in dogs and cats is equal. Find the power test and how many animals should be included in the study to repeat the test with the same significance as calculated in part a and %20 more power than calculated ?
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