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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 p, be the proportion of all entering freshmen in 2014 who graduated in the bottom third of their high school class and let p, 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: p, - 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 = 0.047; fail to reject H; we do not have convincing evidence that the proportion who %3D graduated in the bottom third of their class has been reduced. P-value = 0.047; accept H,; there is convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; fail to reject H,; we do not have convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; reject H, ; 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.

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 p, be the proportion of all entering freshmen in 2014 who graduated in the bottom third of their high school class and let p, 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: p, - 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 = 0.047; fail to reject H; we do not have convincing evidence that the proportion who %3D graduated in the bottom third of their class has been reduced. P-value = 0.047; accept H,; there is convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; fail to reject H,; we do not have convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; reject H, ; 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 p, be the proportion of all entering freshmen in 2014 who graduated in the bottom third of their high school class and let p, 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: p, - 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 = 0.047; fail to reject H; we do not have convincing evidence that the proportion who %3D graduated in the bottom third of their class has been reduced. P-value = 0.047; accept H,; there is convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; fail to reject H,; we do not have convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; reject H, ; 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.
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 p, be the proportion of all entering freshmen in 2014 who graduated in the bottom third of their high school class and let p, 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: p, - 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 = 0.047; fail to reject H; we do not have convincing evidence that the proportion who %3D graduated in the bottom third of their class has been reduced. P-value = 0.047; accept H,; there is convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; fail to reject H,; we do not have convincing evidence that the proportion who graduated in the bottom third of their class has been reduced. P-value = 0.024; reject H, ; 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.
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