00:01
For this question, we want to test this set of hypotheses, and to do so we have a sample of size 120 and x equal to 64.
00:13
And we are asked to find the p value for this test.
00:18
Now if n times p is greater than or equal to 5, and n times 1 minus p is also at least 5, and that is the case here.
00:35
Here, p is x over n.
00:44
Then our test statistic is given by this formula.
01:00
And so we have 64 minus 120 times .5.
01:11
And we have this in the denominator.
01:21
And this comes out to 0 .73.
01:26
So then to calculate our p value, we take a look at the alternative hypothesis.
01:33
We see that it is a greater than hypothesis, which means that the p value is the probability of having gotten a test statistic, at least as big as ours.
01:55
So let's calculate this in excel...