Can someone please help me fill in the reaminin 5 blanks? Thank you! A social ps
ID: 3227134 • Letter: C
Question
Can someone please help me fill in the reaminin 5 blanks? Thank you!
A social psychologist is interested in finding out whether people who self-identify as introverted are more likely to attend certain types of colleges. She surveys college-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselves introverted The following frequency distribution table summarizes the responses to the two survey questions. College Type Agricultural, Liberal Arts 4-Year Community or Technical, or College University Junior College Specialized College other Total Extroverted 218 346 255 82 910 Introverted 125 346 380 1,256 Total 259 457 130 30 The following questions walk you through the steps of a test of the null hypothesis that a student's choice of college type is independent of whether she self-identifies as introverted Fill in the three missing values in the frequency distribution table If a student's choice of college type is independent of whether she self-identifies as introverted, then the expected frequency for the Extroverted/4-Year University category is When you calculate the chi-square test statistic, you add up the contributions from each of the 10 categories. Each contribution consists of the squared difference between the expected and observed frequencies for that particular category, divided by the expected frequency-that is, (fo fe)2 fe. The contribution of the Extroverted/4-Year University category isExplanation / Answer
from above: fill in the blanks sequence wise are as follows:
1) expected frequency...=331.1067
2) contribution to test stat X2 =0.6699
X2 =58.5059
critical value of X2>=13.2767
null hypothesis..............is rejected
Observed O liberal 4 -yr univ. Community or jun. Agril other Total Extroverted 218 346 255 82 9 910 Introverted 41 111 125 48 21 346 Total 259 457 380 130 30 1256 Expected E=rowtotal*column total/grand total liberal 4 -yr univ. Community or jun. Agril other Total Extroverted 187.7 331.1 275.3 94.2 21.7 910 Introverted 71.3 125.9 104.7 35.8 8.3 346 Total 259 457 380 130 30 1256 chi square =(O-E)^2/E liberal 4 -yr univ. Community or jun. Agril other Total Extroverted 4.908 0.670 1.500 1.577 7.462 16.117 Introverted 12.909 1.762 3.944 4.148 19.626 42.389 Total 17.817 2.432 5.443 5.725 27.088 58.5059