The national collegiate Athletic Association requires colleg

The national collegiate Athletic Association requires colleges to report the graduation rates o their athletes. Here are data from a Big ten universities report: 45 of the 74 athletes admitted in a specific year graduated within 6 years. Does this proportion of athletes who gradiate differ significantly from the all university proportion of .70?

I do know that:

Ho; p= .7

Ha: p .7

and using the formula for test statistic I get |1.70|

but what I do not know how to do is figure out the p-value and make a decision.

my notes say p-value= 2p(Z>1.70) = 2(1-.9554) = 0.0892

I dont know where the .9554 came from, I am looking at a normal dist table, but I\"m just lost.

and why 2p(z>1.70) is chosen and not my other two options? (p(z< .17) or p(z>.17)??

Solution

is p 2 because is a two tailed test as you can see in the alternative hypothesis

it can be greater or lower than 0.7

you need to find a value of Z = 1.70

you will have p = 0.0446

but as is a 2 tailed test we need ti multiply by 2

0.0892