00:01
All right, so here our null hypothesis is that our population proportion is 25%.
00:05
And our alternate is that it is higher than 25%.
00:09
And we have a sample size of 500 with a sample proportion of 29%.
00:17
And we know that the standard error is going to be about 0 .02, which is, i was just checking that real quick, which is 0 .25 times 0 .75 .000.
00:42
Over 500 is how they would get that 0 .02.
00:45
And so the standardized score, which be a z score, is our observed, minus our expected, divided by 0 .02.
00:56
So 0 .29 minus 0 .25, divided by 0 .02.
01:00
That gives us a z score of 2.
01:04
B, what is the percentile for the standardized score computed in part a? so z score of 2, 0, 1, negative 1, negative 2, negative 3, and then positive 3.
01:23
And so the percentile is the area to the left of 2 on the standard normal curve.
01:28
And we know that two standard deviations is 95%.
01:31
So that's going to be about the 97 .5th percentile.
01:36
So c, our p value is going to be 0 .025 approximately...