# 19 A recent article reported that a job awaits only one in three new college g
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Question
# 19
A recent article reported that a job awaits only one in three new college graduates. A survey of 200 recent graduates revealed that 80 graduates had jobs. At the .02 significance level, we will conduct a hypothesis test to determine if we can conclude if a larger proportion of graduates have jobs than reported. What will be the value of our test statistic?
# 20 A recent article reported that a job awaits only one in three new college graduates. A survey of 200 recent graduates revealed that 80 graduates had jobs. At the .02 significance level, can we conclude that a larger proportion of graduates have jobs than reported in the article? Yes or No ?
Explanation / Answer
H0:Pu=0.5
H1:Pu>0.5
To test the claim, perform 1-proportion Z test.
Z=(Ps-Pu)/sqrt[Pu(1-Pu)/N], where, Ps and Pu are sample and population proportion, N is sample size.
=(80/200-0.5)/sqrt[0.5(1-0.5)/200]
=-2.83
The p value is 0.002.
The p value is less than 0.02, reject null hypothesis to conclude that larger proportion of graduates hav ejobs than reported in the article.
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