Question

Jurgen is taking ISOM2002 in the current semester and he suspects that there are not too many students in the course have submitted all the assigned work (online exercises and assignments). He claims that there is no more than 70% of the students have done it. He asked around 20 friends who are also studying ISOM2002 in the current semester, and 15 of them said they had submitted all the assigned work. Suppose Jurgen would like to use hypothesis testing to support his claim, what would be the type II error in his test?

Select one:

a. He concluded that there were more than 70% of all the students who had submitted all the assigned work but in fact the percentage was no more than 70%.

b. He concluded that there were no less than 70% of all the students who had submitted all the assigned work but in fact the percentage was less than 70%.

c. He concluded that there were less than 70% of all the students who had submitted all the assigned work but in fact the percentage was no less than 70%.

d. He concluded that there were no more than 70% of all the students who had submitted all the assigned work but in fact the percentage was more than 70%.

Answer 1

Answer :He concluded that there were more than 70% of all the students who had submitted all the assigned work but in fact the percentage was no more than 70%.

Explanation:

Type II error occurs when we accept the null hypothesis when actually it is false or when the alternative hypothesis is true.

Here the null hypothesis, Ho: There were more than 70% of all the students who had submitted all the assigned work.

Alternative Hypothesis, Ha: the percentage of all students who had submitted all the assigned work is no more than 70%

​​​​​​Therefore type II error will occur when we conclude that there were more than 70% of all the students who had submitted all the assigned work when actually not more than 70% of all students have submitted the assigned work.