A competency test is modified so that the proportion of test-takers that pass is more than 75%. A simple random sample of test-takers is collected to determine if the proportion of passers is greater than 75%. The results of the sample are shown below.

Competency Test Sample

passed 80

observations 100

confidence level 0.9

critical value 1.28

test statistic (z) 1.15

p-value 0.124

n=

number passed ?

sample proportion ?

p-value ?

z = ?