est the claim that the proportion of people who own cats is smaller than 40% at the 0.05 significance level. The null and alternative hypothesis would be: H0:μ≥0.4H0:μ≥0.4 H1:μ<0.4H1:μ<0.4 H0:μ=0.4H0:μ=0.4 H1:μ≠0.4H1:μ≠0.4 H0:p≥0.4H0:p≥0.4 H1:p<0.4H1:p<0.4 H0:p≤0.4H0:p≤0.4 H1:p>0.4H1:p>0.4 H0:p=0.4H0:p=0.4 H1:p≠0.4H1:p≠0.4 H0:μ≤0.4H0:μ≤0.4 H1:μ>0.4H1:μ>0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 33% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
est the claim that the proportion of people who own cats is smaller than 40% at the 0.05 significance level. The null and alternative hypothesis would be: H0:μ≥0.4H0:μ≥0.4 H1:μ<0.4H1:μ<0.4 H0:μ=0.4H0:μ=0.4 H1:μ≠0.4H1:μ≠0.4 H0:p≥0.4H0:p≥0.4 H1:p<0.4H1:p<0.4 H0:p≤0.4H0:p≤0.4 H1:p>0.4H1:p>0.4 H0:p=0.4H0:p=0.4 H1:p≠0.4H1:p≠0.4 H0:μ≤0.4H0:μ≤0.4 H1:μ>0.4H1:μ>0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 33% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Test the claim that the proportion of people who own cats is smaller than 40% at the 0.05 significance level.
The null and alternative hypothesis would be:
H0:μ≥0.4H0:μ≥0.4
H1:μ<0.4H1:μ<0.4
H1:μ<0.4H1:μ<0.4
H0:μ=0.4H0:μ=0.4
H1:μ≠0.4H1:μ≠0.4
H1:μ≠0.4H1:μ≠0.4
H0:p≥0.4H0:p≥0.4
H1:p<0.4H1:p<0.4
H1:p<0.4H1:p<0.4
H0:p≤0.4H0:p≤0.4
H1:p>0.4H1:p>0.4
H1:p>0.4H1:p>0.4
H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4
H1:p≠0.4H1:p≠0.4
H0:μ≤0.4H0:μ≤0.4
H1:μ>0.4H1:μ>0.4
H1:μ>0.4H1:μ>0.4
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 100 people, 33% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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