00:01
For this problem, to begin i'll note that we are not given a level of significance to test, so what i'll do is use the p -value approach.
00:08
Now we know that our null hypothesis is going to be the company's claim, 60 % of customers prefer their new soft drink.
00:18
So null hypothesis is that p is equal to 0 .6, with an alternate hypothesis that p simply does not equal 0 .6.
00:27
So we'll be using a two -tailed alternate hypothesis.
00:30
Our test statistic here, z, will be equal to our sample proportion minus the null hypothesized proportion divided by the square root of p0 times 1 minus p0, over n.
00:44
Now to calculate out the value of our test statistic, pardon me that's left over from a previous problem there, let's see here, we'll need to actually calculate our sample statistic, p -hat, so that would be the 130 out of 250 customers, 130 over 250 for p -hat.
01:04
So calculating that out, 130 over 250 gives a result of 0 .52.
01:09
Plugging that into our formula for z, that's 0 .52 minus 0 .6 divided by the square root of 0 .6 times 0 .4 over the total sample size, 250...