17.one year ago the proportion of graduates with a professional job on graduation day was .24 or 24%. 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:



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.

To learn more about the null hypothesis and alternative hypothesis at

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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