MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Test 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_forwardTest the claim that the mean GPA of night students is larger than 2.6 at the .025 significance level.The null and alternative hypothesis would be: H0:μ=2.6H0:μ=2.6H1:μ>2.6H1:μ>2.6 H0:p=0.65H0:p=0.65H1:p<0.65H1:p<0.65 H0:p=0.65H0:p=0.65H1:p≠0.65H1:p≠0.65 H0:μ=2.6H0:μ=2.6H1:μ≠2.6H1:μ≠2.6 H0:μ=2.6H0:μ=2.6H1:μ<2.6H1:μ<2.6 H0:p=0.65H0:p=0.65H1:p>0.65H1:p>0.65 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.64 with a standard deviation of 0.03The 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 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_forward
- Test 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_forwardTest 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 larger than 3.1 at the .025 significance level.The null and alternative hypothesis would be: 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: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: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 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 3.15 with a standard deviation of 0.03The 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_forward
- Test the claim that the mean GPA of night students is smaller than 2.6 at the 0.01 significance level.The null and alternative hypotheses would be: H0:p=0.65H1:p<0.65 H0:p=0.65H1:p>0.65 H0:p=0.65H1:p≠0.65 H0:μ=2.6H1:μ≠2.6 H0:μ=2.6H1:μ<2.6 H0:μ=2.6H1:μ>2.6 Based on a sample of 33 people, the sample mean GPA was 2.59 with a standard deviation of 0.2The p-value is: (to 3 decimals)The significance level is: (to 2 decimals)arrow_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_forwardTest the claim that the proportion of people who own cats is significantly different than 50% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5Ha:μ≠0.5Ha:μ≠0.5 H0:μ≥0.5H0:μ≥0.5Ha:μ<0.5Ha:μ<0.5 H0:μ≤0.5H0:μ≤0.5Ha:μ>0.5Ha:μ>0.5 H0:p=0.5H0:p=0.5Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5Ha:p<0.5Ha:p<0.5 H0:p≤0.5H0:p≤0.5Ha:p>0.5Ha:p>0.5 Correct The test is: right-tailed two-tailed left-tailed Correct Based on a sample of 300 people, 49% owned catsThe p-value is: Incorrect (to 2 decimals)Based on this we: a) Fail to reject the null hypothesis b) Reject the null hypothesis I am just looking for the correct p-value: (to 2 decimals). The correct answers were p = 0.5 and p does not equal 0.5. This is a two tailed test, and we fail to reject the null hypothesis. I for some reason cannot get the correct p value :,( Reject the null hypothesisarrow_forward
- Test the claim that the mean GPA of night students is smaller than 2.2 at the .05 significance level. The null and alternative hypothesis would be? H0:μ=2.2H0:μ=2.2H1:μ>2.2H1:μ>2.2 H0:μ=2.2H0:μ=2.2H1:μ≠2.2H1:μ≠2.2 H0:p=0.55H0:p=0.55H1:p≠0.55H1:p≠0.55 H0:μ=2.2H0:μ=2.2H1:μ<2.2H1:μ<2.2 H0:p=0.55H0:p=0.55H1:p>0.55H1:p>0.55 H0:p=0.55H0:p=0.55H1:p<0.55H1:p<0.55 Based on a sample of 60 people, the sample mean GPA was 2.19 with a standard deviation of 0.06The test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)arrow_forwardTest the claim that the proportion of people who own cats is larger than 90% at the 0.005 significance level. The null and alternative hypothesis would be: Ho: ≤0.9 Ho:p ≤ 0.9 Ho: p=0.9 Ho: ≥ 0.9 Ho: = 0.9 Ho:p> 0.9 H₁: 0.9 H₁:p > 0.9 H₁:p # 0.9 H₁: < 0.9 H₁0.9 H₁ :p < 0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 91% owned cats The p-value is: Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis (to 2 decimals)arrow_forwardTest the claim that the proportion of people who own cats is significantly different than 90% at the 0.05 significance level. The null and alternative hypothesis would be: 0.9 Но: и H1:p + 0.9 H1:µ # 0.9 H1:p > 0.9 Но: р 0.9 Ho:p 0.9 Ho:H> 0.9 H1: µ > 0.9 H1:p < 0.9 H1:H < 0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 100 people, 83% owned catsarrow_forward
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