00:01
Hello, students.
00:02
In this given question, this is said that the fbi computed the proportion of violent crimes in the united states in 2012, filing into each of four categories, right? so the categories are given in this question.
00:15
And this is also said that a simple random sample of 500 violent crimes committed in california during 2012 were categorized in the same way, right? so this is the table given in this question.
00:28
So the u .s.
00:30
Proportion of murder, the u .s.
00:30
Proportion of murder, is 0 .013.
00:32
The forcible ref is 0 .051, robert is 0 .360 and the activated as well is 0 .576, right? and the california frequency is also given to us and this is for murder, it is 5 for forcible rep, it is 23.
00:50
For robert, it is 206 and for the activated as well day 266.
00:55
Now we have to conclude that the properties of crimes in the various categories in california differ from the united states.
01:04
So we have to calculate this part.
01:07
We have to conclude this part, i have to say.
01:09
So let's see how we can solve this, right? so now we will see that what is the value of p value and what is the value of alpha, right? so let's see how we can know this.
01:19
So cheese square goodness of fee test is required for this case.
01:23
So we need to category is the table, right? so there is some category, some observed table and test proportion and also.
01:31
Contribution to ch square right so uh the categories are murder forcible property and aggravated as all right for this murder case the observed is given in this question and that is five and test proportion is also given in this question and this is 0 .013 right 0 .013 we need to calculate the contribution to chis square right so if we calculate it it would be 0 .346 right it is very easy 0 .3 .3 .6 right it is very easy 0 .3 46 right now we are coming to the point of forcible rep so number of forcible rap observed is 23 the test proportion for forcible web is given in this question and that is 0 .051 and what will be the contribution to cheese square it will be 0 .245 okay 0 .245 now we are coming to the point of robbery this is 206 in observed case and what will be the test proportion it is given in this question and this is 0 .360 and the contribution to ch square will be 3 .75.
02:39
3 .75.
02:42
If we take one more decimal, it will be 5.
02:44
Okay.
02:45
So what will be the aggravated as well? this is 266 that is observed and the test proportion of it is 0 .576.
02:54
And what will be the contribution to che square? it will be 1 .680, right? 1 .680.
03:01
So we have seen the cheese square goodness of fifth test right so from the it is a mini tab output right from the mini tab output we can say that the p value is 0 .110 right so we can write that the p value is p value is equals to 0 .110 right 0 .110 okay so what will be the test statistics it will be the chi square right the value of g square is a test statistics...