Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p ≤ 0.1 Ho:μ = 0.1 Ho: p = 0.1 H₁:p> 0.1 H₁:μ ‡ 0.1 The test is: Ho: ≥ 0.1 Ho: ≤0.1 Ho:p ≥ 0.1 H₁:p ‡ 0.1 H₁: < 0.1 H₁: >0.1 H₁: p < 0.1 left-tailed two-tailed right-tailed

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance
level.
The null and alternative hypothesis would be:
Ho p ≤ 0.1 Ho:μ
=
0.1 Ho:p
0.1
H₁:p> 0.1 H₁:μ 0.1 H₁:p ‡ 0.1
O
The test is:
=
left-tailed two-tailed right-tailed
Based on this we:
Based on a sample of 600 people, 5% owned cats
The p-value is:
Ho≥ 0.1 Ho: ≤0.1 Ho:p> 0.1
H₁:μ< 0.1 H₁:μ> 0.1 H₁:p < 0.1
O
O
Reject the null hypothesis
O Fail to reject the null hypothesis
(to 2 decimals)
Transcribed Image Text:Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level. The null and alternative hypothesis would be: Ho p ≤ 0.1 Ho:μ = 0.1 Ho:p 0.1 H₁:p> 0.1 H₁:μ 0.1 H₁:p ‡ 0.1 O The test is: = left-tailed two-tailed right-tailed Based on this we: Based on a sample of 600 people, 5% owned cats The p-value is: Ho≥ 0.1 Ho: ≤0.1 Ho:p> 0.1 H₁:μ< 0.1 H₁:μ> 0.1 H₁:p < 0.1 O O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals)
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