### A binomial population gives a value of p^=0.46

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Suppose a random sample of 100 observations from a binomial population gives a value of p^=0.46 and you wish to test the null hypothesis that the population parameter p is equal to 0.50 against the alternative hypothess that p is greater than 0.50

a) noting that p^= 0.46, does p^ appear to contradict the null hypothesis?

b) use large sample z test to test ho: p=0.50 against the alternative hypothesis, ha: p>0.50 use alpha = 0.05, find the rejection region for the test

c) calculate the value of the test statistic (z = ? )

d) what is the conclusion of the test, reject or not reject

e) find and interpret the observed significance level of the test, what is the p value of the test?

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