Teens At Work

This study is conducted to look at the difference between the population proportion of junior and senior males and junior and senior females who are currently working.

            The population of the study is the NOHS juniors and seniors. Because higher grade students are more likely to be working than those younger ones, I decided to sample only the juniors and seniors. Basically, the surveys asked if whether a student is currently having a job and his/her gender.  From the student name lists, I used the Minitab program to randomly select 80 students for the surveys, and 54 students returned the surveys. Out of the 14 males who returned the surveys, 11 are currently working on a job.  Out of the 40 females, 23 are currently working on a job.

            After obtaining all the data, two pie graphs were created showing the two proportions for males and females are 78.6% and 73.9%, respectively.  A 2-proportion Z-test was conducted with a 95% confidence level. The alternative hypothesis stated that there is a difference between the two proportions.  The z-value was 1.56, and the p-value was 0.118. Since the p-value is greater than 0.05 level of significance, I failed to reject the null hypothesis, which stated that the proportions for both males and females are the same. Thus, I concluded that there is no difference between the true proportions for male and female students.