00:01
Here, for the first sub -question a, the null hypothesis and alternative hypothesis is given by h -0 p -m -m -equal -to -pf, and h -1 p -m -n -n -n -n -n -n -n -nott -a -a -equal to p -ff.
00:25
And for the next sub -question, b, the answer is two -tailed test.
00:36
And for the next sub -question c, the test statistic is given by zd equal to p1 -d -2 -d -d -d -d -d -d -d -d -d -divided by root of p -star, p -star, 2 -1 -1 plus 1 divided by n2.
01:06
Here, n -1 equal to 60, n2 equal to 60.
01:11
X1 sorry p1 dash equal to 40 and p2 dash equal to 0 .40 p2 dash equal to 0 .40 p2 dash is given by the formula n1 p1 p1 dash all divided by n1 plus n2 by substituting the corresponding values, we get p star equal to 60 into 0 .40 plus 60 into 0 .55, all divided by 60 plus 60 plus 60.
01:55
That's equal to 0 .475...