Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level. The null and alternative hypothesis would be: H0:p≤0.5H0:p≤0.5 Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5 Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5 Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5 Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5 Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5 Ha:μ>0.5Ha:μ>0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: Reject the null hypothesis Do not reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level. The null and alternative hypothesis would be: H0:p≤0.5H0:p≤0.5 Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5 Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5 Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5 Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5 Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5 Ha:μ>0.5Ha:μ>0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: Reject the null hypothesis Do not reject the null hypothesis
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level.
The null and alternative hypothesis would be:
- H0:p≤0.5H0:p≤0.5
Ha:p>0.5Ha:p>0.5 - H0:μ≥0.5H0:μ≥0.5
Ha:μ<0.5Ha:μ<0.5 - H0:p=0.5H0:p=0.5
Ha:p≠0.5Ha:p≠0.5 - H0:p≥0.5H0:p≥0.5
Ha:p<0.5Ha:p<0.5 - H0:μ=0.5H0:μ=0.5
Ha:μ≠0.5Ha:μ≠0.5 - H0:μ≤0.5H0:μ≤0.5
Ha:μ>0.5Ha:μ>0.5
The test is:
- right-tailed
- two-tailed
- left-tailed
Based on a sample of 700 people, 43% owned cats
The test statistic is: (Round to 2 decimals)
The p-value is: (Round to 2 decimals)
Based on this we:
- Reject the null hypothesis
- Do not reject the null hypothesis
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