test 2

Problem 2
a. The expected frequency of the liberal males is Row total*column total/Total=(150*100)/200=75
b.The null hypothesis is: H0:Gender is independent whether the subject is liberal or conservative.
c.The degrees of freedom=(row-1)*(column-1)=(2-1)*(2-1)=1
d.The critical value is chi square(0.05,1)=3.84
Since, the observed test statistic (2.66) is less than 3.84; the test statistic does not fall in the critical
region. So, the researcher could not reject the null hypothesis. Hence, the two variables are not
independent.
Problem 3
Enter the data in SPSS.
Go to Analyze, select Descriptive statistics and then go to crosstabs. Move Reftype to Rows and Vote to
columns. Click Ok. The final output is given below.
The chi square statistic is 6.298 and the P value is 0.012. Since, the P value is quite large, hence fail to
reject the null hypothesis.
Problem 1
a. The probability that a student selected at random is a senior or is majoring in science is
P(Senior or science)...