Why the correct answer is letter A? Students in an online course are each randomly assigned to receive either standard practice exercises or adaptivepractice exercises. For the adaptive practice exercises, the next question asked is determined by whether the studentgot the previous question correct. The teacher of the course wants to determine whether there is a differencebetween the two practice exercise types by comparing the proportion of students who pass the course from eachgroup. The teacher plans to test the null hypothesis that versus the alternative hypothesis , whererepresents the proportion of students who would pass the course using standard practice exercises andrepresents the proportion of students who would pass the course using adaptive practice exercises.The teacher knows that the percent confidence interval for the difference in proportion of students passing thecourse for the two practice exercise types (standard minus adaptive) is and the percent confidenceinterval for the difference in the proportion of students passing the course for the two practice exercise types(standard minus adaptive) is . Which of the following is the most reasonable conclusion for theteacher’s hypothesis test at the level?(A) The p -value is less than 0.01 , so there is convincing statistical evidence that the proportion of students whowould pass the course for the two practice exercise types differs at the 5% level.(B) The p-value is between 0.01 and 0.10, so there is convincing statistical evidence that the proportion ofstudents who would pass the course for the two practice exercise types differs at the 5% level.(C) The p-value is between 0.01 and 0.10, so the researchers cannot determine whether the proportion ofstudents who would pass the course for the two practice exercise types differs at the 5% level.(D) The p-value is between 0.01 and 0.10, so there is not convincing statistical evidence that the proportion ofstudents who would pass the course for the two practice exercise types differs at the 5% level.(E) The p -value is greater than 0.10 , so there is not convincing statistical evidence that the proportion ofstudents who would pass the course for the two practice exercise types differs at the 5% level.
Why the correct answer is letter A?
Students in an online course are each randomly assigned to receive either standard practice exercises or adaptive
practice exercises. For the adaptive practice exercises, the next question asked is determined by whether the student
got the previous question correct. The teacher of the course wants to determine whether there is a difference
between the two practice exercise types by comparing the proportion of students who pass the course from each
group. The teacher plans to test the null hypothesis that versus the alternative hypothesis , where
represents the proportion of students who would pass the course using standard practice exercises and
represents the proportion of students who would pass the course using adaptive practice exercises.
The teacher knows that the percent confidence interval for the difference in proportion of students passing the
course for the two practice exercise types (standard minus adaptive) is and the percent confidence
interval for the difference in the proportion of students passing the course for the two practice exercise types
(standard minus adaptive) is . Which of the following is the most reasonable conclusion for the
teacher’s hypothesis test at the level?
(A) The p -value is less than 0.01 , so there is convincing statistical evidence that the proportion of students who
would pass the course for the two practice exercise types differs at the 5% level.
(B) The p-value is between 0.01 and 0.10, so there is convincing statistical evidence that the proportion of
students who would pass the course for the two practice exercise types differs at the 5% level.
(C) The p-value is between 0.01 and 0.10, so the researchers cannot determine whether the proportion of
students who would pass the course for the two practice exercise types differs at the 5% level.
(D) The p-value is between 0.01 and 0.10, so there is not convincing statistical evidence that the proportion of
students who would pass the course for the two practice exercise types differs at the 5% level.
(E) The p -value is greater than 0.10 , so there is not convincing statistical evidence that the proportion of
students who would pass the course for the two practice exercise types differs at the 5% level.
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