00:01
Hi, i'm david and i'm hitting have you answered your question and let me bring up your question here.
00:06
In the question here we are going to discuss about the high -products testing.
00:11
Here we want to test the claim that the mansters claim that the production process to be out of control when the fact exists the 3 % and that this only this is only a sample of fluctuation and the production is not really a sample of fluctuation and the production is not really out of the control so therefore we will have the known hypothesis that the mean it will be smaller than that would be the percentage of p it will be smaller than equal to the 3 % versus the alternative hypothesis standard proportion will be greater than the 0 .0 .0 hypothesis and that's will be the known and alternative hypothesis here we given the sample n equal to the 85 and we're given the x the p hath equal to the 0 .0 59 which is the 5 .9 % and then from here we can find the test statistics denoted by the z the formula will be the p hath minus the p over square root of the p times 1 minus p over the n so therefore we have the 0 .0 .05 minus the p will be the 0 .0 .03 divided by square root under zon 0 3 1 minus 0 0 .03 over n.
01:45
So if we compute it we get equal to jrbond 0 .0 3 times 0 .97 divided by 85 between the square root 0 .059 minus 0 .0 .3 divided by the answer equal to 1 .567.
02:03
And then the next time we meet to find the critical value because this will be the right tail test.
02:13
So the far critical value will be the z on the z -1 01 and we have this value here it will equal to the 0 1 and the 2nd 0 1 it will equal to the 2 .33.
02:27
Now we have the rejection region that we will reject the actual if we have the z test greater than the 1 2 point 33 we see that because the z test we found equal to 1 .567 smaller than 2 .33 so we do not reject the known hypothesis and then there is not enough to to reject enough evidence to reject the manager claim which is the actual here.
03:27
So therefore we have to choose the three correct choices in this question.
03:33
Now the first one will be true for the b because that will be the claim of the manager and there is not enough evidence so we will not choose the a...