00:01
So our question says a random sample of 860 breads in the new york state included 426 boys.
00:06
Construct a 95 % confident interval estimate of the proportion of boys in all bed.
00:11
It is believed that among all breads, the proportion of boys is 0 .512.
00:16
Do this sample result provide strong evidence against the belief? so let's go to our worksheet.
00:23
We have the sample size to be 860.
00:25
We have the number of boys to be 426.
00:28
We have the sample proportion, which is the proportion of boys.
00:31
Giving birth to we have that as 426 divided by 860 and that gives us 0 .495 so we have two questions in this question of us so the first question is for us to construct in 95 % confidence interval for the population proportion of boys giving birth to and the second question is telling us to use our confidence interval to make hypothesis test so that means there's an initial assertion regarding the proportion of boys giving bed too in that hospital so we are going to be using our confidence interval to make inference on the hypothesis probably we are going to reject the no hypothesis or we are going to be accepting the no hypothesis so meaning that we are going to state our null hypothesis and alternative hypothesis so our test statistics in code is going to be the confidence interval so according to the belief it's that it is belief that among all bets the proportion of voice is 0 .512 so that means our normal hypothesis h not is based on the fact that p is 0 .512 but from our sample proportion, we can see that this value is actually lesser.
01:36
So that means our alternative hypothesis is based on the fact that p is lesser than 0 .512.
01:42
So let's construct our confidence interval.
01:45
So to construct a 95 % confidence interval for population proportion, we make it on the formula that says p is equals to p cap.
01:53
We have plus or minus 1 .96 times the square root of p cap, q cap, the varied by n...