ntering freshmen in 2016 who graduated in the botom third f their high school class. Is there evidence that the proportion f freshmen who graduated in the bottom third of their high chool class in 2016 has been reduced, compared to the roportion in 2014? You test the hypotheses Ho: P1- P2 0, Ha:P1 - P2>0 using a = 0.05. The test statistic is 1.980. Vhich of the following is the appropriate P-value and

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In a large Midwestern university an SRS of 100 entering
freshmen in 2014 found that 20 finished in the bottom third of
their high school class. In 2016, an SRS of 100 entering
freshmen found that 10 finished in the bottom third of their
high school class. In both years, the entering freshman class
had roughly 6000 students. Let p1 be the proportion of all
entering freshmen in 2014 who graduated in the bottom third
of their high school class and let p2 be the proportion of all
entering freshmen in 2016 who graduated in the bottom third
of their high school class. Is there evidence that the proportion
of freshmen who graduated in the bottom third of their high
school class in 2016 has been reduced, compared to the
proportion in 2014? You test the hypotheses Ho : P1 - P2=0,
Ha:P1 - P2>0 using a = 0.05. The test statistic is 1.980.
Which of the following is the appropriate P-value and
conclusion for your test?
P-value = 0.024; reject Ho; we have convincing evidence that the
proportion who graduated in the bottom third of their class has
been reduced.
P-value 0.024; fail to reject Ho; we have convincing evidence that
the proportion who graduated in the bottom third of their class has
not changed.
%3D
P-value = 0.047; accept Ha; there is convincing evidence that the
proportion who graduated in the bottom third of their class has
Transcribed Image Text:In a large Midwestern university an SRS of 100 entering freshmen in 2014 found that 20 finished in the bottom third of their high school class. In 2016, an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. In both years, the entering freshman class had roughly 6000 students. Let p1 be the proportion of all entering freshmen in 2014 who graduated in the bottom third of their high school class and let p2 be the proportion of all entering freshmen in 2016 who graduated in the bottom third of their high school class. Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2016 has been reduced, compared to the proportion in 2014? You test the hypotheses Ho : P1 - P2=0, Ha:P1 - P2>0 using a = 0.05. The test statistic is 1.980. Which of the following is the appropriate P-value and conclusion for your test? P-value = 0.024; reject Ho; we have convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value 0.024; fail to reject Ho; we have convincing evidence that the proportion who graduated in the bottom third of their class has not changed. %3D P-value = 0.047; accept Ha; there is convincing evidence that the proportion who graduated in the bottom third of their class has
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