Test the claim that the mean GPA of night students is smaller than 2 at the .005 significance level.The null and alternative hypothesis would be:Ho: p=0.5 Ho: p=0.5 Ho: μ = 2H₁:p> 0.5 H₁: p<0.5 H₁: >2H₁: PThe test is:two-tailed left-tailed right-tailedOBased on a sample of 65 people, the sample mean GPA was 1.95 with a standard deviation of 0.08The test statistic is:The critical value is:Based on this we:Ho: p=2 Ho: p=2 Ho: p=0.5H₁: p < 2 H₁: p2 H₁: p0.52 H₁: <2 ₁+Fail to reject the null hypothesisReject the null hypothesis(to 2 decimals)(to 2 decimals)

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Answered: Test the claim that the mean GPA of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Test the claim that the mean GPA of night students is larger than 2.2 at the .10 significance level. The null and alternative hypothesis would be: Họ:p = 0.55 Họ : µ = 2.2 Ho: µ = 2.2 Ho:µ = 2.2 Ho:p = 0.55 Ho:p = 0.55 H1:p 0.55 H1:µ + 2.2 H1:µ > 2.2 H1: µ 0.55 H1:p < 0.55 %3D The test is: left-tailed two-tailed right-tailed Based on a sample of 75 people, the sample mean GPA was 2.23 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: OFail to reject the null hypothesis Reject the nul hypothesis
You wish to test the following claim (H,) at a significance level of a = 0.01. H.:P = P2 You obtain 53.8% successes in a sample of size n = 236 from the first population. You obtain 40.3% successes in a sample of size na = 477 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O do not reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O The sample data…
Please answer all sub-parts Test the claim that the proportion of people who own cats is larger than 10% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ=0.1H0:μ=0.1Ha:μ≠0.1Ha:μ≠0.1 H0:p=0.1H0:p=0.1Ha:p≠0.1Ha:p≠0.1 H0:μ≤0.1H0:μ≤0.1Ha:μ>0.1Ha:μ>0.1 H0:μ≥0.1H0:μ≥0.1Ha:μ<0.1Ha:μ<0.1 H0:p≥0.1H0:p≥0.1Ha:p<0.1Ha:p<0.1 H0:p≤0.1H0:p≤0.1Ha:p>0.1Ha:p>0.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 12% owned catsThe test statistic is: (Round to 2 decimals)The p-value is: (Round to 2 decimals)Based on this we: Reject the null hypothesis Do not reject the null hypothesis
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.
Test the claim that the mean GPA of night students is smaller than 3.4 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.85H0:p=0.85H1:p>0.85H1:p>0.85 H0:p=0.85H0:p=0.85H1:p≠0.85H1:p≠0.85 H0:μ=3.4H0:μ=3.4H1:μ≠3.4H1:μ≠3.4 H0:p=0.85H0:p=0.85H1:p<0.85H1:p<0.85 H0:μ=3.4H0:μ=3.4H1:μ>3.4H1:μ>3.4 H0:μ=3.4H0:μ=3.4H1:μ<3.4H1:μ<3.4 The test is: -left-tailed -two-tailed -right-tailed Based on a sample of 20 people, the sample mean GPA was 3.35 with a standard deviation of 0.08The 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 hypothesis
Test the claim that the mean GPA of night students is larger than 2.5 at the .005 significance level. The null and alternative hypothesis would be: H 0 : μ = 2.5 H 1 : μ > 2.5 H 0 : p = 0.625 H 1 : p > 0.625 H 0 : μ = 2.5 H 1 : μ ≠ 2.5 H 0 : p = 0.625 H 1 : p < 0.625 H 0 : μ = 2.5 H 1 : μ < 2.5 H 0 : p = 0.625 H 1 : p ≠ 0.625 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.55 with a standard deviation of 0.07 The 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 hypothesis
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 hypothesis
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:P1 = P2 Ha:P1 < P2 You obtain a random sample of size 476 from the first population, with 344 successes. You obtain a random sample of size 398 from the second population, with 331 successes. What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.) p-value = The p-value is... less than a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first population…
Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≥2.3H0:μ≥2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 H0:p≤0.575H0:p≤0.575H1:p>0.575H1:p>0.575 H0:μ≤2.3H0:μ≤2.3H1:μ>2.3H1:μ>2.3 H0:p≥0.575H0:p≥0.575H1:p<0.575H1:p<0.575 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.26 with a standard deviation of 0.08The 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 hypothesis
Test 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 hypothesis
Test 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 hypothesis
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