00:01
We have a sample of size n equals 196, and in that sample, we see 29 objects satisfying a certain observation we want to observe.
00:10
That is, r equals 299, and of n equals 196.
00:13
We want to use this data to test the claim that p is greater than 092, with alpha equals 0 .05 or confidence level 5%.
00:23
Now that we've identified the confidence level, we can proceed to the following procedural steps in order to conduct this hypothesis test.
00:29
First, is it appropriate to use the normal distribution? yes, it is because np and qp are both greater than five.
00:38
Secondly, what hypotheses are we testing? we're testing h0p equals 0 .092, hap greater than 0 .092, which means we're conducting a right -tailed or one -tailed test.
00:49
Next, compute p -hat in the test statistic.
00:52
P hat is simply r over n or 0 .148...