A manufacturer of submersible pumps claims that at most \(30 \%\) of the pumps require repairs within the first 5 years of operation. If a random sample of 120 of these pumps includes 47 which required repairs within the first 5 years, test the null hypothesis \(p=0.30\) against the alternative hypothesis \(p>0.30\) at the 0.05 level of significance.