Do these data gave a strong evidence to say that the proportion of the right-handed students is less than the proportion of the left- handed students by 10%

I assumed the right handed students to be secomd population and the left handed people the first population

the form of the null and alternative hypothesis is :

Ho : P2 - P1 >= 10%

H1 : P2 - P1 < 10%

is my solution correct?