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In 2008, 30% of employed adults in the United States reported that mathematical skills were very...

In 2008, 30% of employed adults in the United States reported that mathematical skills were very important to their job. A math professor at Hartwick College thinks this percentage has changed. He takes a random sample of 600 employed adults and finds that 157 of them feel that mathematical skills are very important to their job. Is there sufficient evidence to conclude that the percentage of employed adults who feel mathematical skills are very important to their job has changed at 0.05 level of significance?

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Answer #1

Here claim is that the percentage of employed adults who feel mathematical skills are very important to their job has changed

So hypothesis is vs

Now

So test statistics is

So P value is

Hence we reject the null hypothesis

So we have sufficient evidence to support the claim that the percentage of employed adults who feel mathematical skills are very important to their job has changed

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