In May 2015, the Ministry of Health Malaysia reported that there are 5 million smokers in the country, aged 18 years and above, which is about 17% of the total population. As a result of tobacco-related complications, every year this group contributed to about 20,000 premature deaths. The ministry had drawn up various strategies to achieve a target of getting 390,000 smokers to quit the habit within three years. Recently a study was initiated by a private healthcare institution. It reported that 31 out of 586 smokers successfully quit their smoking habit. Conduct an appropriate hypothesis testing to estimate whether the ministry will achieve its target in the next three years. Use 1% as the significance level. Justify your finding.