A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science.
A second sample of 100 different students was asked the same question for an assignment in history.
If 43 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the claim whether the difference between the proportions is due to chance. Use alpha=0.02.