Question: Chinese students from public schools in Hong Kong were the subjects of a study designed to investigate the relationship between various measures of parental behavior and other variables. The sample size was 713. The data were obtained from questionnaires filled in by the students. One of the variables examined was parental control, an indication of the amount of control that the parents exercised over the behavior of the students. Another was the self-esteem of the students. Increasing scores on each of these variables indicated higher levels of the construct being measured.

(a) (2 points) The correlation between parental control and self-esteem was \(r=-0.19\). Calculate the test statistic for testing the null hypothesis that the population correlation is equal to 0.

(b) (3 points) Find an approximate P-value for your test statistic and interpret your results. (Use \[\alpha =0.05\] )