00:01
In this question, you have a past study which indicate that the percentage of smokers was estimated to be about 34 % right.
00:08
And then you believe that percentage smokers has reduced.
00:13
So you randomly serve it 1 ,178 people and found that 544 of them are smoke, right? so you ask a test claim that percentage of smokers has reduced, right? at all of 5 % significant labor.
00:28
So then our hypothesis is, of course, is that the average, which i'm going to call p, should be less than a 34 % right.
00:36
The p is the population of the population proportion or the smoker.
00:42
And you see the sample estimates of the proportion, of course, is given by p height, 544 over 1708, right? so if you do that calculation, you'll find this number to be actually given by 544, not 544 divided by 1 ,708.
01:02
That actually gives you, so, 2%, right? which seems to be below the 34 %, right? so to test this, this is a non -hypathy, so you can also identify or alternate hypothesis, which, of course, is p larger than 34 % or equal to, right? and then the test of course is a one -sided test, right? actually, it's going to be a left -tailed test, right? so the test is a left -tailed, right? and the appropriate significance level, it's all the far, right, 5 % of state.
01:36
And the uo -tast statistic, in this case, i'm going to call it z -tast statistic, right? so z -tast statistic, i'm going to call it z -nod...