Formed, thus ${pH}$ falls slowly and after equivalence point, so the ${pH}$ falls sharply so methyl arrange, having ${pH}$ range of $3.2$ to $4.4$ will weak as indicator. So statement$-I$ is correct.

Titration curve for weak acid and strong base $({NaOH})$ Initially weak acid will form a buffer so ${pH}$ increases slowly but after equivalence point. it rises sharply covering range of phenolphthalein so it will be suitable indicator so statement$-II$ is false.