00:02
We want to run a hypothesis test to see if the average number of accidents per day is not 2 .3.
00:09
So our null hypothesis is going to be mu equals 2 .3, and the alternative is mu does not equal 2 .3.
00:17
Now we need a test statistic t, which we're going to find by doing this calculation, our sample mean, which is 2 .8, minus our population mean, 2 .3.
00:31
That difference, that'll be 0 .5, gets divided by this.
00:34
Fraction, standard deviation over the square root of our sample size, 20.
00:41
And this calculation comes out to be a test statistic of 3 .194.
00:48
Now for our p value, we're going to flip to the t distribution critical value table and go across row 19, degrees of freedom 19, and find where 3 .194 would be.
01:01
In between 2 .861 and 3 .579, which corresponds to areas to the right at the top of those two columns, 0 .005 and 0 .01.
01:14
But we need to double those p values because our alternative hypothesis is not equal to.
01:22
So our p value is going to be somewhere between 0 .002 and 0 .01...