Answer :
H0: p=0.24 is the null hypothesis, whereas H1: p>0.24 is the alternative hypothesis.
To find out whether two proportions are different, compare them. The proportion of graduates with jobs is 281 ÷ 1120, or 0.25. It was 0.24 last year.
The null hypothesis states that 0.25 equals 0.24.
The alternate hypothesis states that 0.25 is not the same as 0.24.
The Chi-square test might potentially be employed in this situation. It would be possible to acquire a Pearson chi² value with one freedom degree and a probability. If the probability is smaller than the cutoff, such as less than 0.05, the null hypothesis is rejected.
However, the criteria are not just a percentage of the previous year's statistics. If the prior year's figures are insufficient, the chi-square analysis is inapplicable.
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The question is -
In a survey of 1120 new college graduates, 281 had a professional job on graduation day. One year ago the proportion of graduates with a professional job on graduation day was 24%. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that the proportion of graduates with a professional job is higher now than it was one year ago is:
a) H0: p=.24 vs. H1: p<.24
b) H0: p=.24 vs. H1: p≠.24
c) H0: p=.24 vs. H1: p>.24
d) H0: p=.25 vs. H1: p<.25
e) H0: p=.25 vs. H1: p>.24