<h2>Answer with explanation:</h2>
Let p be the population proportion .
Then,
According to the given information, we have
, since alternative hypothesis is two-tailed , so the hypothesis test is a two-tail test.
Since sample size is large (n> 30), we use z-test.
Let us consider 95% confidence i.e..
c) Critical value =
Sample proportion :
d) Test statistic :
i.e.
e) P-value (for two-tail) :
f) P-value is the probability value that we have falsely rejected the null hypothesis.
g) Since observed z-value (2.8) does not lie in critical interval (-1.96, 1.96), it means the null hypothesis is rejected.