SOLUTION: I read the chapter but dont understand how to solve this problem ... You wish to test the following claim (Ha) at a significance level of α=0.002. Ho:p=0.69 Ha:

Question 1139998: I read the chapter but dont understand how to solve this problem ...
You wish to test the following claim (Ha) at a significance level of α=0.002.
Ho:p=0.69
Ha:p<0.69
You obtain a sample of size n=723 in which there are 489 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z for a=0.002 is -2.878 is the critical value
p hat is 489/723=0.676
z=(0.676-0.69)/sqrt (0.69*0.31/723)
=-0.014/0.0172=-0.814 test statistic using 1 sample proportion
as normal approximation
np=489
np(1-p)=151.59 (variance)
sd=12.32 sqrt (V)
.69*n=498.87
so z=(489-498.87)/12.32=-0.801
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