A university claims that their employment rate directly after graduation is 40%. In a sample of 100 graduates, 32 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is smaller than 40% at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:p≥0.4 0:≥0.4
H1:p<0.4 1:<0.4
H0:μ=0.4 0: =0.4
H1:μ≠0.4 1: ≠0.4
H0:μ≤0.4 0: ≤0.4
H1:μ>0.4 1: >0.4
H0:p≤0.4 0: ≤0.4
H1:p>0.4 1: >0.4
H0:p=0.4 0: =0.4
H1:p≠0.4 1: ≠0.4
H0:μ≥0.4 0: ≥0.4
H1:μ<0.4 1: <0.4
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