Test the claim that the proportion of men who own cats is smaller than 30% at the .10 significance level.The null and alternative hypothesis would be:Ho: p=0.3H₁:μ0.3O Ho: p= 0.3H₁:p> 0.3Ο Η : μ = 0.3Η : μ < 0.3O Ho : p = 0.3H₁: p0.3Ο Ηo : μ = 0.3H : μ > 0.3○ Ho: p= 0.3H₁: p<0.3Based on a sample of 65 people, 27% owned catsThe test statistic isThe critical value isBased on this weO Reject the null hypothesisO Fail to reject the null hypothesis(to 3 decimals)(to 2 decimals) You wish to test the following claim at a significance level of a = 0.001.Ho : p = 0.32H₁: p < 0.32You obtain a sample of size 555 in which there are 155 successful observations.What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round inthe middle of your calculations.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)This test statistic leads to a decision toO reject the nullO accept the nullO fail to reject the nullAs such, the final conclusion is thatthere is sufficient evidence to conclude that the population proportion is less than 0.32.there is not sufficient evidence to conclude that the population proportion is less than 0.32.O there is sufficient evidence to conclude that the population proportion is equal to 0.32.O there is not sufficient evidence to conclude that the population proportion is equal to 0.32.

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Answered: Test the claim that the proportion of…

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 mean GPA of night students is larger than 2 at the .025 significance level.The null and alternative hypothesis would be: H0:p=0.5H1:p<0.5 H0:μ=2H1:μ≠2 H0:p=0.5H1:p≠0.5 H0:μ=2H1:μ>2 H0:μ=2H1:μ<2 H0:p=0.5H1:p>0.5 Based on a sample of 60 people, the sample mean GPA was 2.03 with a standard deviation of 0.06The test statistic is (to 3 decimals)The critical value is (to 3 decimals)Based on this we reject the null hypothesis fail to reject the null hypothesis
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Test the claim that the mean GPA of night students is different from the mean GPA of day students at the 0.01 significance level. The null and alternative hypothesis would be: Ho:µN – PD = 0 Ho:PN – pp = 0 Ho:UN – µD = 0 Ho:PN – PD = 0 HA:PN – µD 70 HA:PN – pp > 0 HA:µn – µD 0 The test is: two-tailed right-tailed left-tailed The sample consisted of 35 night students, with a sample mean GPA of 2.98 and a standard deviation of 0.02, and 80 day students, with a sample mean GPA of 3.03 and a standard deviation of 0.06. The test statistic is: (to 3 decimals) The positive critical value is: (to 3 decimals) The p-value is: (to 3 decimals)
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n1=42 with a mean of ¯x1=69.5 and a population standard deviation of σ1=16.2 from the first population. You obtain a sample of size n2=55 with a mean of ¯x2=75.4 and a population standard deviation of σ2=17.9 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... less than (or equal to) αα greater than αα 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... There is sufficient evidence to warrant rejection of the claim that the first population…
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