The proportion of people that own cats is 20%. A veterinarian believes that this proportion is smaller than 20% and surveys 500 people. Test the veterinarian's claim at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that n≤0.05n≤0.05 of all subjects in the population? Yes No Verify np(1−p)≥10.np(1-p)≥10. Round your answer to one decimal place. np(1−p)=np(1-p)=  Test the claim: The null and alternative hypotheses are H0:μ=0.2 Ha:μ≠0.2 H0:μ≥0.2 Ha:μ<0.2 H0:p=0.2 Ha:p<0.2 H0:μ≤0.2 Ha:μ>0.2 H0:p=0.2 Ha:p≠0.2

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The proportion of people that own cats is 20%. A veterinarian believes that this proportion is smaller than 20% and surveys 500 people. Test the veterinarian's claim at the α=0.05α=0.05 significance level.

Preliminary:

  1. Is it safe to assume that n≤0.05n≤0.05 of all subjects in the population?
    • Yes
    • No


  2. Verify np(1−p)≥10.np(1-p)≥10. Round your answer to one decimal place.

    np(1−p)=np(1-p)= 

Test the claim:

  1. The null and alternative hypotheses are
    • H0:μ=0.2
      Ha:μ≠0.2
    • H0:μ≥0.2
      Ha:μ<0.2
    • H0:p=0.2
      Ha:p<0.2
    • H0:μ≤0.2
      Ha:μ>0.2
    • H0:p=0.2
      Ha:p≠0.2
    • H0:p≤0.2
      Ha:p>0.2


  2. The test is
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