Question
1) A business school has found that over the years about 70% of all students who were offered admission actually accepted.After a new director of
1) A business school has found that over the years about 70% of all students who were offered admission actually accepted.After a new director of admissions is hired, the university wants to check whether the proportion who accept has changed significantly.
Suppose they offer admission to 1200 students and 878 (or about 73%) of the students accept.
The university performs a hypothesis test on the results:H0: p = 0.70vs.HA: p 0.70
The calculator screen below shows the results.
The calculator screen shows that the p-value for the hypothesis test is0.0167.Which statement best interprets the meaning of the p-value in the context of this scenario?
a.0.0167 is the chance that the proportion of students who accept is not 70%.
b.0.0167is the chance of getting a sample result as extreme as the one obtained in this sample ifthe proportion of students who accept is still 70%.
c.0.0167isthe chance that the proportion of students who accept is still 70%.
d.0.0167is the chance of getting a sampleresult as extreme as the one obtained in this sample ifthe proportion of students who accept isno longer equal to70%.
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