Sample 2Assume that both populations are normally distributed.a) Test whether u, # µ, at the a = 0.05 level of significance for the given sample data.b) Construct a 95% confidence interval about µ - 42.Sample 117171314.33.53.1E Click the icon to view the Student t-distribution table.a) Perform a hypothesis test. Determine the null and alternative hypotheses.O A. Ho: H1 = H2, H4: Hq # H2O B. Ho: H1 = H2, Hq: Hy Hz

Given that Sample Mean 1 (\bar X_1)(Xˉ1) = 1313 Sample Standard Deviation 1 (s_1)(s1) =…

Answered: Assume that both populations are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Test the claim that the proportion of people who own cats is larger than 30% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p=0.3H0:p=0.3H1:p≠0.3H1:p≠0.3 H0:p≤0.3H0:p≤0.3H1:p>0.3H1:p>0.3 H0:μ=0.3H0:μ=0.3H1:μ≠0.3H1:μ≠0.3 H0:μ≤0.3H0:μ≤0.3H1:μ>0.3H1:μ>0.3 H0:μ≥0.3H0:μ≥0.3H1:μ<0.3H1:μ<0.3 H0:p≥0.3H0:p≥0.3H1:p<0.3H1:p<0.3 The test is right-tailed left-tailed two-tailed Based on a sample of 800 people, 32% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of people who own a pet is smaller than 50% at the 0.05 significance level. The null and alternative hypothesis would be: Но: р 3 0.5 Но:д > 0.5 Но:д 0.5 Ні:р 0.5 Hi:р + 0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 600 people, 288 owned a pet, 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 men who own cats is larger than 20% at the .01 significance level. The null and alternative hypothesis would be: Ho: P 0.2 Hop 0.2 Hoμ = 0.2 H₁: p0.2 H₁ : μ 0.2 (to 2 decimals) (to 2 decimals) Ho: p = 0.2 0 H₁: p < 0.2
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a two-tailed test is z=1.95. A. 0.9744; fail to reject the null hypothesis B. 0.0512; fail to reject the null hypothesis C. 0.0512; reject the null hypothesis D. 0.0256; reject the null hypothesis
Test the claim that the mean GPA of night students is smaller than 2.2 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: 2.2 Ho:p ≤ 0.55 Ho:p≥ 0.55 Ho:p = 0.55 Ho:μ = 2.2 Ho:μ ≤ 2.2 H₁: 0.55 H₁:p 2.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.15 with a standard deviation of 0.04 The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 2 decimals)
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Use a y-test to test the claim o = 0.48 at the a = 0.01 significance level using sample statistics s = 0.466 and n = 15. Assume the population is normally distributed. Identify the null and alternative hypotheses. YA. Ho: o? = 0.48 O B. Ho: o 20.48 H:o +0.48 H,: o 0.48 Identify the test statistic. (Round to two decimal places as needed.)
A random sample of statistics students were asked to estimate the total number of hours they spend watching television in an average week. The responses are recorded in Table. Use this sample data to construct a 98% confidence interval for the mean number of hours statistics students will spend watching television in one week. Assume the population is normally distributed. (Give your answer to 3 decimal places if necessary.) 20 13 1 10 20 0 10 13 16 10 1 17 18 3 9 (?,?)
a. The test statistic, t, is (Round to two decimal places as needed.) b. P-value (Round to three decimal places as needed.) c. Confidence interval (Round to three decimal places as needed.) d. conclusion for hypothesis test
Can you fill out the blanks.
Test the claim that the proportion of people who own cats is larger than 70% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 74% owned catsThe p-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 significantly different than 3.5 at the 0.05 significance level. The null and alternative hypothesis would be: Ho :p > 0.875 На:р 0.875 O Ho : µ 3.5 Ho :p = 0.875 Ha:p + 0.875 O Ho : µ > 3.5 На: д < 3.5 The test is: O right-tailed left-tailed O two-tailed

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