Test the claim that the proportion of men who own cats is significantly different than 90% at the 0.02 significance level. The null and alternative hypothesis would be: Ho: 0.9 Ho:p = 0.9 Ho:μ = 0.9 Ho:p = 0.9 Ho:μ = μ H₁0.9 = 0.9 Ho:p = 0.9 H₁: p < 0.9 H₁: 0.9 H₁:p 0.9 H₁: >0.9 H₁: p > 0.9 The test is: two-tailed right-tailed left-tailed Based on a sample of 45 people, 99% owned cats The test statistic is: The positive critical value is: Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals) (to 2 decimals)
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- What is meant by the sample space of an experiment?Test the claim that the proportion of people who own cats is significantly different than 90% at the 0.02 significance level. The null and alternative hypothesis would be: Ho : µ = 0.9 Ho: µ = 0.9 Họ:p= 0.9 Họ:p= 0.9 Họ:p= 0.9 Ho: µ = 0.9 H1: µ > 0.9 H1:u + 0.9 H1:p# 0.9 H1:p 0.9 H1: µ Next Question MacBook Pro @ # % & 2 4 6. 7 8. W R T Y S D G J 但 * 00Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ = 0.2 Ho:H = 0.2 Ho:p= 0.2 Ho:µ = 0.2 Ho:p= 0.2 Ho:p= 0.2 H1: µ > 0.2 H1:470.2 H1:p7 0.2 H1:µ 0.2 The test is: left-tailed right-tailed two-tailed Based on a sample of 4 people, 25% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis Check Answer
- Test the claim that the proportion of people who own cats is significantly different than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5H1:p>0.5H1:p>0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5H1:p<0.5H1:p<0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, 43% owned catsThe p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest the claim that the proportion of men who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p = 0.3 Ho:p = 0.3 Ho:u = 0.3 Ho:µ = 0.3 Ho:p = 0.3 Ho:u = 0.3 H1:p # 0.3 H1:p > 0.3 H1:4 > 0.3 H1:µ < 0.3 H1:p < 0.3 H1:u + 0.3 The test is: left-tailed two-tailed right-tailed Based on a sample of 50 people, 22% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of people who own cats is smaller than 90% at the 0.025 significance level.The null and alternative hypothesis would be: A. H0:μ=0.9 Ha:μ<0.9 B. H0:p=0.9 Ha:p>0.9 C. H0:μ=0.9 Ha:μ≠0.9 D. H0:p=0.9 Ha:p≠0.9 E. H0:μ=0.9 Ha:μ>0.9 F. H0:p=0.9 Ha:p<0.9 The standardized test is: two-tailed left-tailed right-tailed Based on a sample of 122 people, 81% owned catsThe test statistic is: (to 2 decimals)The P-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- Test the claim that the proportion of people who own cats is significantly different than 25% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.25H0:μ=0.25Ha:μ≠0.25Ha:μ≠0.25 H0:p=0.25H0:p=0.25Ha:p<0.25Ha:p<0.25 H0:μ=0.25H0:μ=0.25Ha:μ<0.25Ha:μ<0.25 H0:p=0.25H0:p=0.25Ha:p≠0.25Ha:p≠0.25 H0:μ=0.25H0:μ=0.25Ha:μ>0.25Ha:μ>0.25 H0:p=0.25H0:p=0.25Ha:p>0.25Ha:p>0.25 The test is: left-tailed two-tailed right-tailed Based on a sample of 400 people, 80 owned cats What is p̂ (to 2 decimal places)? The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals, if your p-value is less than 0.0001, you may enter 0))Based on this we: Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% owned catsThe p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest the claim that the proportion of people who own cats is significantly different than 80% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.8 Ho:p= 0.8 Ho:µ = 0.8 Ho:p > 0.8 H1:µ > 0.8 H1:p > 0.8 H1:µ < 0.8 H1:p 0.8 H1:µ + 0.8 H1:p < 0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 84% owned cats (to 2 decimals) The p-value is: Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.7H0:μ=0.7 H1:μ<0.7H1:μ<0.7 H0:μ=0.7H0:μ=0.7 H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:p=0.7H0:p=0.7 H1:p>0.7H1:p>0.7 H0:p=0.7H0:p=0.7 H1:p<0.7H1:p<0.7 H0:μ=0.7H0:μ=0.7 H1:μ>0.7H1:μ>0.7 The test is: left-tailed right-tailed two-tailed Based on a sample of 45 people, 74% 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 hypothesisTest the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level.The null and alternative hypothesis would be: H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ=H0:μ=H1:μ>H1:μ> H0:μ=H0:μ=H1:μ<H1:μ< H0:μ=H0:μ=H1:μ≠H1:μ≠ H0:p=0.2H0:p=0.2H1:p>0.2H1:p>0.2 H0:p=0.2H0:p=0.2H1:p<0.2H1:p<0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 65 men, 17651765 of the men owned catsThe test statistic is: z=z= (to 2 decimals)The positive critical value is zC=zC=1.28155.Thus the test statistic in the critical region.Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: H0:p=0.2H0:p=0.2H1:p<0.2H1:p<0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 H0:μ=0.2H0:μ=0.2H1:μ>0.2H1:μ>0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ=0.2H0:μ=0.2H1:μ<0.2H1:μ<0.2 H0:p=0.2H0:p=0.2H1:p>0.2H1:p>0.2 The test is: two-tailed right-tailed left-tailed