SOLUTION: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.H0: p=0.8 versus H1: p> 0.8 n=100; x=90, α=0.0.1 Use technology to find t

Algebra ->  Probability-and-statistics -> SOLUTION: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.H0: p=0.8 versus H1: p> 0.8 n=100; x=90, α=0.0.1 Use technology to find t      Log On


   



Question 1076740: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.H0:
p=0.8 versus H1: p> 0.8
n=100; x=90, α=0.0.1
Use technology to find the p value
I keep coming up with the wrong p value

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho:p<=0.8
Ha: p>0.8, one way test
assume random sample, equal probability for each choice (independence).
alpha=0.01 P{reject Ho:Ho is true}
test statistic is one sample proportion
critical value z>2.326
z=(0.9-0.8)/sqrt (0.8*0.2/100); sqrt of 0.0016=.04
z=(0.1/.04)=2.5
probability z> 2.5 is 0.0062
check with one sample proportion test on calculator, z=2.5
Reject Ho
p-value given is 0.0062.