Suppose a random sample of 100 observations from a binomial population gives a value of p = .69 and you wish to test the null hypothesis that the population parameter p is equal to .75 against the alternative hypothesis that p is less than .75.
a. Noting that p = .69, 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 = .75 against the alternative hypothesis
Ha: p < .75. Use a = .05.
c. How do the test results compare with your intuitive decision from part a?