I would argue that this test isn't particularly informative. Given 5 attempts and 5 successes, even though the point estimate of accuracy is 1, the 95% CI ranges from 0.48 to 1:
> binom.test(5,5,0.5)
Exact binomial test
data: 5 and 5
number of successes = 5, number of trials = 5, p-value = 0.0625
alternative hypothesis: true probability of success is not equal to 0.5
95 percent confidence interval:
0.4781762 1.0000000
In other words, we don't have enough data in that small sample to reject the possibility that the model is 50% accurate, much less 99.9% accurate.