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c. What is the power of the test in part a? d. 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 in part ee c ?

c. What is the power of the test in part a? d. 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 in part ee c ?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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6. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test and report a p-value. Dogs Cats Total Old 40 70 110 Young 10 30 40 Total 50 100 150 b. in a smaller animal shelter, 12 cats and 5 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test and report a p-value. Dogs Cats Total Old 4 7 11 Young 1 6 Total 5 12 17 What is the power of the test in part a? d. 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 in part * E 2 C.
Transcribed Image Text:6. In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test and report a p-value. Dogs Cats Total Old 40 70 110 Young 10 30 40 Total 50 100 150 b. in a smaller animal shelter, 12 cats and 5 dogs are being accommodated. Table below shows age group of the cats and dogs. Is the probability of being old equal in cats and dogs? Make a hypothesis test and report a p-value. Dogs Cats Total Old 4 7 11 Young 1 6 Total 5 12 17 What is the power of the test in part a? d. 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 in part * E 2 C.
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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