Question 1181945
Ho: p=0.25
Ha: p NE 0.25
alpha=0.01 p{reject Ho|Ho true}
test is a z, reject if |z| > 2.576. That is the rejection region for a two way test.
For a 1-way right-tailed test the rejection region would be z>2.326
for a 1-way left-tailed test, the data themselves show a proportion that is not below the mean.

z=(0.275-0.25)/sqrt(0.25*0.75/1000)
=0.025/0.137
=1.826
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Fail to reject Ho at the 0.01 level two way test and right-tail test. Insufficient evidence exists to counter the official's claim.
It was rejected a priori for a left-tail test.
p-value = 0.0679