It has been reported that the probability that an individual will develop schizophrenia over their lifetime is 0.004. in a random sample of 3000 individuals, it was determined that 17 developed schizophrenia. is there evidence to support the claim that the true proportion of people who will develop schizophrenia is different from 0.004 at the α = 0.05 level of significance? use p value approach.

2people are trying different phones to see which one has the better talk time. chatlong has an average of 18 hours with a standard deviation of 2 hours and talk-a-lot has an average of 20 hours with a standard deviation of 3. the two people who tested their phones both got 20 hours of use on their phones. for the z-scores i got 1 for the chatlong company and 0 for talk-a-lot. what is the percentile for each z-score?