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 value of the test statistic?

Select one:

a. Cannot be determined without the level of significance.

b. 0.488

c. - 0.516

d. 0.516

Answer 1

null Hypothesis:              Ho:   p=		0.700
alternate Hypothesis:    Ha: p >		0.700

sample success x   =		15
sample size          n    =		20
std error σp =√(p*(1-p)/n) =		0.1025
sample proportion p̂ = x/n=		0.7500
test statistic z =(p̂-p)/σp=(0.75-0.7)/0.75=		0.488