Do men and women have similar college majors researchers ask...

Do men and women have similar college majors? Researchers ask a group of college students about their majors. They also group the students by their gender. They want to determine if the distribution of college majors is the same for men and women. A chi-square Homogeneity Test at the 5% significance level is performed.

Transcript

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 this question here we are going to discuss about the hybrid testing.

00:12 Here we have the known hypothesis that the distribution of the two populations are the same.

00:19 The alternative hypertices, the distribution of the two populations are not the same.

00:24 The question be asked to find the task.

00:30 Statistics and here we will have to find the formula and let me remind you that the formula for the k square task it will equal to the summation of the column and the row and then we have to observe i -chain minus expected i -j square divided by the expected i -chain now the table we have in this question here it will be the table update observation and now we will need to create another table called the expected value so we will make the table here and then we have this one will be the man and this will be the woman and then we will have this will be we have the three groups so we have one two go further to this side and then we have this will be the three so the first group will be the art and then we have the humanities and we have the science.

01:54 Now you find the expected count for this table denoted by the e.

01:59 And we just need to take the value of the total for the art times the total for the main.

02:07 We have the 16 times under 47 divided by the total number of the students.

02:13 And then we have equal to 16 times 4 ,000, 47 divided by 74 equal to any round to the expected frequency by 1 decimal passes will be the 10 point 2 similarly the next cell we will change the total will be the 31 with 10 to the 47 divided by the 74 then we get equal to the 19 7 and then the third one will be the 27 we times with the 47 over the 74 27 times 47 defined by 74 equal to the 17 .1 and the next one for the woman we will use the one with the 27 we start over with the 16 here times with the 27 we divided by the 74 then we get 16 times 27 times 27 depending by the 24 then we get 16 times 27 equals to the 5 .8.

03:24 The next one will be the 31 times with the 27 over 74.

03:31 31 times 27 to 17 .4 equal to the 11 .3 and the last one will be the 27 times 27 over the 74.

03:46 We get equal to the 9 .9.

03:49 9...

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