00:01
For this problem, we are doing a one -tailed hypothesis test.
00:03
So our null hypothesis is that the population proportion is equal to 0 .019, 1 .9%.
00:15
The alternative hypothesis is that the population proportion is greater than 1 .9%, p greater than 0 .019.
00:25
So we're doing this as a right -tailed test, with alpha equals 0 .01.
00:30
So, i'll state my decision rule.
00:33
We will reject the null hypothesis if the observed z -score is greater than the critical z -statistic for a cumulative proportion of 0 .99.
00:49
I'll find that value from my table of values here.
00:52
Now if we want a cumulative proportion, it might be difficult to read for you, but it's 0 .99 there.
00:57
If we want a cumulative probability of 0 .99, the z -score is 2 .326...