00:01
Now in this question we've been asked to do a hypothesis testing.
00:06
We've been given the proportion of people who say yes to gay marriage in 2012 and then proportion of people who say yes to gay marriage in the 2016.
00:24
Now if we want to do a hypothesis test then of course which of the test want to check whether for gay marriage, the proportion of people who have said yes or accepted it is higher in 2016 than 2012.
00:44
Then among the options that we've been given, if truly p of 2016 represent the proportion of people who are accepting gay marriage in 2020, then our now hypothesis is the best that we can choose and now hypothesis is going to be p of 2016 minus p of 2012 should be equal to zero okay so this now hypothesis simply means that we can actually write it also like this p of 2016 is the same or equal when we take p of 2012 to the other side then we're going to get that this that it is the same there is no increment between the proportion of those accepting in 2016 and those accepting in 2012.
01:42
So there's no increment.
01:44
However, if there is an increment, then our alternative hypothesis is going to be p of 2016 minus p of 2012 is greater than zero.
02:00
We can also write this as what alternative hypothesis is what p of 2016.
02:07
Is greater than p of 2012 so this would have been the best choice among all that we've been given that is d however if h not or alternative hypothesis of pi of 2016 pi of 2016 because this one we are dealing with proportion i would have we choose d as the best.
02:36
But if pi also means the same thing, if pi of 2016 actually means the proportion of those accepting in 2016, then we could actually have also have the other option, which is optional e to also be another best choice that we can also use, which would have been pi of 2012 equal zero.
03:04
That can also be written the same thing as pi of 2016 equals pi of 2012...