00:01
Here we're testing the claim that the chances of getting married is greater than 2 .6.
00:11
So our null hypothesis is going to be that it's not greater than 2 .6, and our alternative hypothesis is going to be that it's greater than 0 .026.
00:27
So we have our, let's see, she did a random sample of 498 women who were single at the time of their marriage.
00:49
So our p for the sample is 18.
00:53
18 divided by 498, 0 .036.
01:02
And we're going to test this claim.
01:06
So because our sample is large enough, we can do a z -score.
01:10
So we have z is going to be 0 .036 minus our 0 .026 over square root 0 .026 times 1 minus 0 .026, 0 .974 over n, which was 498.
01:50
That's going to give us our test statistic.
01:54
So we're going to do 0 .026 times 0 .974 divided by 498.
02:02
Square root it, we get 0 .00713.
02:07
And then we're going to do 0 .036 minus 0 .026 divided by 0 .00713, and we get 1 .40.
02:20
That's going to be our z -score.
02:22
And then we're wanting to do, let's see, what confidence interval did it say? a significance level of 0 .05.
02:33
That is a 95 % confidence interval...