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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: μ = 0.3 H₁:μ0.3 O Ho: p=0.3 H₁:p> 0.3 Ο Η : μ = 0.3 H : μ < 0.3 Ho: p=0.3 H₁: p=0.3 O H : |=0.3 H : μ > 0.3 Ho: p= 0.3 H₁ :p < 0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis (to 3 decimals) (to 2 decimals)

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: μ = 0.3 H₁:μ0.3 O Ho: p=0.3 H₁:p> 0.3 Ο Η : μ = 0.3 H : μ < 0.3 Ho: p=0.3 H₁: p=0.3 O H : |=0.3 H : μ > 0.3 Ho: p= 0.3 H₁ :p < 0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis (to 3 decimals) (to 2 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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=0.3 H₁:μ0.3 O Ho: p= 0.3 H₁:p> 0.3 Ο Η : μ = 0.3 Η : μ < 0.3 O Ho : p = 0.3 H₁: p0.3 Ο Ηo : μ = 0.3 H : μ > 0.3 ○ Ho: p= 0.3 H₁: p<0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis (to 3 decimals) (to 2 decimals)
Transcribed Image Text: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=0.3 H₁:μ0.3 O Ho: p= 0.3 H₁:p> 0.3 Ο Η : μ = 0.3 Η : μ < 0.3 O Ho : p = 0.3 H₁: p0.3 Ο Ηo : μ = 0.3 H : μ > 0.3 ○ Ho: p= 0.3 H₁: p<0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O 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 = 0.32 H₁: p < 0.32 You 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 in the 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 to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that there 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.
Transcribed Image Text:You wish to test the following claim at a significance level of a = 0.001. Ho : p = 0.32 H₁: p < 0.32 You 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 in the 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 to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that there 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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