Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null hypothesis that the population parameter p is equal to .70 against the alternative hypothesis that p is less than .70. a) noting that p = .63, what does your intuition tell you? does the value of p appear to contradict the null hypothesis? b) use the large-sample z-test to test h0: p = .70 against the alternative hypothesis, ha: p < 70. use a = .05. how do the test results compare with your intuitive decision from part a? c) find and interpret the observed significance level of the test you conducted in part b.