00:01
Hey there, welcome to numerate.
00:03
So we are looking at the number of heads, the hypothetical value here is, would be that we have 50 heads out of 100 tosses, and we're also given our sample size of 100 tosses, and we observe 59 heads, right? so with that, we have to see at what level, significance level, would we reject no hypothesis? so in order to see if we rejected now, we have solved for our z critical, i mean z score.
00:35
So our z score would be the sample proportion, which is basically basically 0 .59 minus the hypothetical 0 .50 divided by the square root of 0 .5 .5 .5.
01:02
5 divided by our sample size of 100.
01:08
Alright, so with that, we're gonna calculate our z score here.
01:12
Our z score would end up being 1 .80.
01:16
And now we can also use this to find a p value.
01:20
So p value equals, this will we get here for a p value.
01:26
This will be a right tail test since our noaa hypothesis, well, since our alternative hypothesis, is where the proportion is greater than 0 .5.
01:41
And the null hypothesis given is equal 0 .5, right? so the right tail test.
01:49
And with that, we look at our table and get a p value of around 0 .036, right? 0 .036.
02:01
All right.
02:08
And now with that, our alpha levels are 105...