Using the ExamScores dataset, a teacher found that31

of50

students scored over80

in Exam1, which is over the expected proportion of0.5

. At the=0.01

significance level, does sufficient evidence exist that the proportion of scores over80

is greater than0.5

? Use the output below.

1)

What is the null hypothesisH0

?

p^=0.62

p=0.5

p=0.62

2)

What is the alternative hypothesisHa

?

p0.5

p<0.5

p>0.5

3)

What is thep

-value?

0.0804

0.0402

4)

What is the conclusion for thet

-test?

RejectH0

Fail to rejectH0