00:01
So for this problem, i'm first going to note that there are many different approaches.
00:09
With the way that the information is given, one could think that it could be done as a paired sample t test for means.
00:22
Alternatively, one different approach that we could do is do this as a z test for proportions.
00:34
Where we'd have that the null hypothesis is that the total proportion, of the times or of the times that the opportunities were taken are equal between the two populations.
00:49
And the alternate hypothesis is that the proportion of the number of times that the opportunity was taken when there were no chimps in the adjoining cage is less than the number of times when there were.
01:01
So in this case, we are going to be summing over all of the different chimps putting together the proportions.
01:09
So, we'd have that the number of proportions for population one would be summing over the values when there's no chimp in the adjoining cage, you know, 21 plus 22 plus dot, dot, dot, where we are dividing by 36 times seven, because we're told that each chimp was given 36 opportunities.
01:29
So we find that, that should be p hat there, sample proportion 1 is equal to 0 .556 roughly...