A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Test the claim that the proportion of men who own cats is significantly different than 60% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ<0.6H1:μ<0.6 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:μ=0.6H0:μ=0.6H1:μ>0.6H1:μ>0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 60 people, 66% 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 hypothesisarrow_forwardTest the claim that the mean GPA of night students is significantly different than 3.2 at the 0.05 significance level.The null and alternative hypothesis would be: (multiple choice) H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ≤3.2H0:μ≤3.2H1:μ>3.2H1:μ>3.2 H0:μ≥3.2H0:μ≥3.2H1:μ<3.2H1:μ<3.2 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:μ=3.2H0:μ=3.2H1:μ≠3.2H1:μ≠3.2 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 The test is: (multiple choice) left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 3.17 with a standard deviation of 0.05The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: (multiple choice) Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardTest the claim that the proportion of people 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: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:p≤0.2H0:p≤0.2H1:p>0.2H1:p>0.2 Correct The test is: left-tailed two-tailed right-tailed Correct Based on a sample of 100 people, 29% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forward
- Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level.The null and alternative hypothesis would be: H0:p=0.775H0:p=0.775H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 H0:p=0.775H0:p=0.775H1:p<0.775H1:p<0.775 H0:μ=3.1H0:μ=3.1H1:μ<3.1H1:μ<3.1 H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 H0:μ=3.1H0:μ=3.1H1:μ>3.1H1:μ>3.1 Correct The test is: left-tailed right-tailed two-tailed Correct Based on a sample of 60 people, the sample mean GPA was 3.15 with a standard deviation of 0.05The test statistic is: Correct (to 2 decimals)The critical value is: Incorrect (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis Hi can you show me how to get crictical value for this question? Please, can you show without excel? thank you.arrow_forwardTest the clainm that the mean GPA of night students is significantly different than 2.5 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:u > 2.5 Ho:p 0.625 Ho:p 0.625 H1:µ> 2.5 H :µ+ 2.5 H1:p 0.625 The test is: right-tailed left-tailed two-tailed Based on a sample of 55 people, the sample mean GPA was 2.46 with a standard deviation of 0.07 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesisarrow_forwardTest 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-tailedarrow_forward
- Test 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 hypothesisarrow_forwardTest the claim that the mean GPA of night students is smaller than 2.1 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.525H0:p=0.525H1:p<0.525H1:p<0.525 H0:p=0.525H0:p=0.525H1:p>0.525H1:p>0.525 H0:p=0.525H0:p=0.525H1:p≠0.525H1:p≠0.525 H0:μ=2.1H0:μ=2.1H1:μ≠2.1H1:μ≠2.1 H0:μ=2.1H0:μ=2.1H1:μ<2.1H1:μ<2.1 H0:μ=2.1H0:μ=2.1H1:μ>2.1H1:μ>2.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 2.06 with a standard deviation of 0.07The test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardTest the claim that the mean GPA of night students is significantly different than 3.1 at the 0.1 significance level.The null and alternative hypothesis would be: H0:p=0.775H1:p≠0.775 H0:μ≤3.1H1:μ>3.1 H0:μ≥3.1H1:μ<3.1 H0:μ=3.1H1:μ≠3.1 H0:p≥0.775H1:p<0.775 H0:p≤0.775H1:p>0.775 The test is: two-tailed left-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 3.07 with a standard deviation of 0.07The test statistic is: ? (to 2 decimals)The p-value is: ? (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forward
- Test the claim that the proportion of men who own cats is smaller than 90% at the .05 significance level.The null and alternative hypothesis would be: H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ=0.9H0:μ=0.9H1:μ>0.9H1:μ>0.9 H0:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 20 people, 84% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardTest the claim that the proportion of men who own cats is significantly different than 40% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=0.4 H0:μ=0.4, H1:μ≠0.4 H1:μ≠0.4, H0:μ=0.4 H0:μ=0.4, H1:μ<0.4 H1:μ<0.4, H0:p=0.4 H0:p=0.4, H1:p≠0.4 H1:p≠0.4 H0:p=0.4 H0:p=0.4, H1:p>0.4 H1:p>0.4, H0:μ=0.4 H0:μ=0.4H1:μ>0.4 H1:μ>0.4, H0:p=0.4 H0:p=0.4, H1:p<0.4 H1:p<0.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 25 people, 32% 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 hypothesisarrow_forwardTest the claim that the mean GPA of night students is smaller than 2.4 at the 0.10 significance level. The null and alternative hypothesis would be: Ho:u > 2.4 Ho:p > 0.6 Ho:p 0.6 H1: µ > 2.4 H1:p# 0.6 H1:µ # 2.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 45 people, the sample mean GPA was 2.36 with a standard deviation of 0.08 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesisarrow_forward
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