MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- In a test for the difference between two proportions, the sample sizes were n₁ = 99 and ₂ = 116 and the numbers of events were x₁ = 64 and x₂ = 56. A test is made of the hypotheses Ho: P₁ P₂ versus H₁ P₁ > P₂. Part: 0 / 3 Part 1 of 3 (a) Compute the P-value using your calculator. Round your answer to four decimal places. The P-value is X Sarrow_forwardTest the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁₂; a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H1 H2 OC. Ho: H₁ H₂ Ha: H1 H2 OE. Ho: H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t= (Round to two decimal places as needed.). OB. Ho: H₁ H₂ Ha: H₁ 24₂ OD. Ho: ₁₂ Ha: H1 H₂ OF. Ho: H₁ H₂ H₂: H₁ H₂ Find the P-value. P=0 (Round to three decimal places as needed.). Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. ▼ Ho There enough evidence at the 1% level of significance to reject the claim.arrow_forwardConclusion: Print : 6. Suppose the hypotheses for a statistical test are Ho: P₁ P₂ vs H P P₂. For each possible confidence interval given below, state a conclusion of the test for that sample (either R for "Reject Ho" or DNR for "Do not reject Ho") and give the significance level used. (a) 95% confidence interval for p₁-P₂: -0.41 to 0.05 Conclusion: (b) 90% confidence interval for P₁-P₂: -0.53 to -0.12 (c) 99% confidence interval for P₁-P₂: -0.21 to 0.33 Conclusion: Find EP Immersive Reader Significance level: Significance level Significance level Jarrow_forward
- Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardQ-3) Show all the steps for the problem.arrow_forward(2) Choose the one alternative that best completes the statement or answers the question. Assume two independent random samples are available which provide sample proportions. For the first sample assume n₁ = 100 and x₁= 39. For the second sample, assume n₂= 100 and x₂= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth. Note that this is a two- tailed test. z-value = -1.425 p-value= 0.077 statistically significant z-value = 1.425 p-value= 0.077 statistically significant z-value = -1.425 p-value= 0.077 not statistically significant z-value = 1.425 p-value= 0.154 statistically not significantarrow_forward
- The researchers found that 83.3% of students in the sample have rarely or never used the food pantry on campus. We will test whether it is plausible that more than 80% of all students on campus have rarely or never used the campus food pantry. Identify (describe in words) the parameter and include the appropriate symbol. State the null and alternative hypotheses in symbols. Use the One proportion inference applet to create a distribution of 1000 simulated sample statistics (with the “Proportion of successes” option) and include a screenshot below that shows what you entered in the applet as well as the resulting distribution. Check the Summary Statistics box and explain why the values of the mean and SD (SE) make sense according to theory-based methods. Use the applet to find a p-value for this situation. Explain how you do this, and include a screenshot that shows the relevant portion of the applet, including the distribution of simulated sample statistics. State the value of…arrow_forwardI need help with thisarrow_forwardTest the claim about the population variance o² at the level of significance a. Assume the population is normally distributed. Claim: o² ≤17.1; x = 0.01 Sample statistics: s² = 25.13, n = 41 Write the null and alternative hypotheses. Ho: H₂:0²arrow_forward
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