Spam is of concern to anyone with in email protection by eli

Spam is of concern to anyone with in e-mail protection by eliminating spam e-mails as they hit an inbox. To example one such product, a manager randomly sampled his daily emails for 50 days after installing spam software.

Solution

Null, H0:P=0.02
Alternate, H1: P>0.02
Test Statistic
No. Of Success chances Observed (x)=15
Number of objects in a sample provided(n)=374
No. Of Success Rate ( P )= x/n = 0.0401
Success Probability ( Po )=0.02
Failure Probability ( Qo) = 0.98
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.04011-0.02/(Sqrt(0.0196)/374)
Zo = 2.7775
| Zo | = 2.7775
Critical Value
The Value of |Z | at LOS 0.01% is 2.33
We got |Zo| =2.777 & | Z | =2.33
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Right Tail - Ha : ( P > 2.7775 ) = 0.00274
Hence Value of P0.01 > 0.00274,Here we Reject Ho

[ANSWER]
a. H0:P=0.02 , H1: P>0.02
b. Z - test for Proportion
c. Zo > 2.33, Reject Ho
d. Zo = 2.7775
e. ( P > 2.7775 ) = 0.00274
f. We have evidence that spam getting through are greater than 2%