university claims that their employment rate directly after graduation is 70%. In a sample of 300 graduates, 231 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is larger than 70% at the 0.005 significance level. The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7 H1:p>0.7H1:p>0.7 H0:μ≥0.7H0:μ≥0.7 H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7 H1:μ>0.7H1:μ>0.7 H0:p≥0.7H0:p≥0.7 H1:p<0.7H1:p<0.7 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:μ=0.7H0:μ=0.7 H1:μ≠0.7H1:μ≠0.7 The test is: right-tailed two-tailed left-tailed The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
university claims that their employment rate directly after graduation is 70%. In a sample of 300 graduates, 231 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is larger than 70% at the 0.005 significance level. The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7 H1:p>0.7H1:p>0.7 H0:μ≥0.7H0:μ≥0.7 H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7 H1:μ>0.7H1:μ>0.7 H0:p≥0.7H0:p≥0.7 H1:p<0.7H1:p<0.7 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:μ=0.7H0:μ=0.7 H1:μ≠0.7H1:μ≠0.7 The test is: right-tailed two-tailed left-tailed The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis Fail to 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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A university claims that their employment rate directly after graduation is 70%. In a sample of 300 graduates, 231 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is larger than 70% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:p≤0.7H0:p≤0.7
H1:p>0.7H1:p>0.7
H1:p>0.7H1:p>0.7
H0:μ≥0.7H0:μ≥0.7
H1:μ<0.7H1:μ<0.7
H1:μ<0.7H1:μ<0.7
H0:μ≤0.7H0:μ≤0.7
H1:μ>0.7H1:μ>0.7
H1:μ>0.7H1:μ>0.7
H0:p≥0.7H0:p≥0.7
H1:p<0.7H1:p<0.7
H1:p<0.7H1:p<0.7
H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
H1:p≠0.7H1:p≠0.7
H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7
H1:μ≠0.7H1:μ≠0.7
The test is:
right-tailed
two-tailed
left-tailed
The test statistic is: (to 2 decimals)
The p-value is: (to 4 decimals)
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
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