Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level. The null and alternative hypothesis would be: O Ho: PM PF H₁ PM> PF Ho: PM F Η μM > με - Ho:μM – με H₁: UMF Ho: PM = PF H₁ PM PF O Ho: PM PF H₁ PM
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- What is meant by the sample space of an experiment?4) Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.The null and alternative hypothesis would be: pick one H0:pM=pFH0:pM=pF H1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF The test is: (pick one) right-tailed two-tailed left-tailed Based on a sample of 60 men, 25% owned catsBased on a sample of 60 women, 50% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: (pick one) Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the 0.01 significance level.The null and alternative hypothesis would be: Ho:pM=pFHo:pM=pFHa:pM>pFHa:pM>pF Ho:pM=pFHo:pM=pFHa:pM<pFHa:pM<pF Ho:pM=pFHo:pM=pFHa:pM≠pFHa:pM≠pF Ho:μM=μFHo:μM=μFHa:μM<μFHa:μM<μF Ho:μM=μFHo:μM=μFHa:μM≠μFHa:μM≠μF Ho:μM=μFHo:μM=μFHa:μM>μFHa:μM>μF The test is: left-tailed right-tailed two-tailed Based on a sample of 60 men, 45% owned catsBased on a sample of 20 women, 70% owned catsThe test statistic is: z = (to 2 decimals) The P-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
- Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.The null and alternative hypothesis would be: H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF The test is: two-tailed left-tailed right-tailed Based on a sample of 60 men, 25% owned catsBased on a sample of 20 women, 35% owned catsThe test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisIn a study of 786 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p≠0.5 H1: p=0.5 B. H0: p=0.5 H1: p≠0.5 C. H0: p=0.5 H1: p>0.5 D. H0: p<0.5 H1: p=0.5 E. H0: p>0.5 H1: p=0.5 F. H0: p=0.5 H1: p<0.5 What is the test statistic? z= (Round to two decimal places as needed.) What is the P-value? P-value=In a study of 822 randomly selected medical malpractice lawsuits, it was found that 472 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p<0.5 H1: p=0.5 B. H0: p=0.5 H1: p<0.5 C. H0: p=0.5 H1: p>0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p>0.5 H1: p=0.5 F. H0: p≠0.5 H1: p=0.5 What is the test statistic? z=nothing (Round to two decimal places as needed.) What is the P-value? P-value=nothing (Round to three decimal places as needed.) What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. B. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. C. Fail to reject the null hypothesis…