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

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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
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
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