14Does doing online quizzes more than once help to pass a statistics course?

Take the population of students taking a particular statistics course who do the online quizzes more than once and say that the proportion of them who then pass the course is pQ. Similarly, take the population of students taking the course who do not take online quizzes more than once and say that the true proportion of them who pass the course is pN. A lecturer decides to conduct a test using the following pair of null and alternative hypotheses: H0: pQ- pN= 0, Ha: pQ- pN 0.

An administrator was able to take a random sample of 80 students who did online quizzes more than once and calculate the proportion who passed the course, and a random sample of 60 students who did not take online quizzes more than one and calculate the proportion of them who passed the course. The test statistic for the test is calculated to be 2.30.

Use the test statistic given to calculate the appropriateP-value for this test of hypothesis. Select the correct value from the list below. (Hint: remember to take account of whether a one-tailed or two-tailed test is being used.)

Select one:

a.

0.025

b.

0.011

c.

0.022

d.

0.013