00:01
This question given that alpha is 0 .10.
00:06
Here, our test the hypothesis is h0, p1 is equal to p2 and our ultimate hypothesis is p1 not equal to p2.
00:19
It is a two -tailed test.
00:24
And our sample proportions p1 have is 216 divided by 216.
00:33
That is 350 which is equal to 0 .617 and p2 hat is 169 divided by 169 plus 167 that is 3366 we get 0503.
00:52
Next we have to find the population proportion p is n1 p1 plus n2 p2 divided by n1 plus in q.
01:06
Substitute all values to 16 plus 169 divided by 350 plus 336.
01:15
We get the sample proportion, sorry, population proportion is 0 .561.
01:23
So q is 1 minus p.
01:27
We get 1 minus 0 .561.
01:32
So, what does the statistic? test stat z is equal to the equation is p1 minus p2 divided by square root of pq into 1 by n1 plus 1 by n2 substitute all values here we get 0 .617 minus 0 .503 divided by square root of 0 .561 into 0 .439 into 1 by 350 plus 1 by 336 which is equal to 0 .039...