00:01
Hi, i'm david and i'm here to help you answer your question.
00:03
Now let me bring up your question here.
00:06
In the question here, we are going to discuss about the high -prudist testing.
00:11
Here we want to test the communist claim that 25 % of its employees are minorities.
00:20
And then you speculate that the company's claim is false and have in inclination that the actual percentage of minorities employed by the companies.
00:30
Is less than 25%.
00:33
So this will helps us to formulate the null hypothesis with the proportion.
00:41
It will equal to the 0 .25 versus the alternative hypothesis.
00:48
The proportion will be less than the 0 .25.
00:51
In this question we're given the sample and equal to the 150 and we're given the x it will equal to the 33.
01:01
And from here we will be able to formulate the sample proportion p h.
01:09
Equal to x over n so equal to the 33 over 150 so we get equal to the 0 .22 and after that we can find the test statistics and then the formula here will be the z equal to the p hath minus p over the square root of the p times 1 minus p defined by so we have the p hoth equal to the 0 .22 minus p will be 0 .25 of a square root of the 0 .25 1 minus 0 .25 and then dividing by the end will be 150.
01:57
And if we compute this one get equal to taking the square root 0 .22 minus 0 .25 the any other equal to the minus 0 .a49.
02:15
And then after this we will be able to find the p value.
02:21
So the p value it will be because this will be the left tail test.
02:29
So therefore the b value it will equal to the probability of the z smaller than the test statistics.
02:35
Minos 0 .80, around to the 85.
02:38
And to find this value, i need to bring up the z table.
02:42
So let me copy the z table and i put it on the right here...