00:01
For a statistical hypothesis test, we are told that the standardized test statistic for the test of no hypothesis proportion equal to 0 .4 versus alternative hypothesis proportion not equal to 0 .4 is z equals 2 .43.
00:20
And then we're asked which of the following five options is the correct one.
00:26
Now we can calculate the p -value for this test because we have our test statistic.
00:35
Now to calculate the p -value we note that this is a two -tailed test because the alternative hypothesis is that the proportion is not equal to .4.
00:46
And so the p -value is the probability of getting a test statistic at least as extreme as the one that we got in either direction.
00:55
So that is the probability that z is greater than 2 .43 plus the probability that z is less than minus 2 .43.
01:07
And due to symmetry of the standard normal distribution, this is equal to two times the probability that z is less than minus 2 .43.
01:19
And we can calculate that in excel or using any other software that does statistical probabilities.
01:27
So we start with equals to do a computation, and that's two times.
01:31
We want the probability that z is less than or equal to minus 2 .43...
