A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of

Question:

A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation will feel any ill effects. If, in a random sample, only 1 of 19 per-sons exposed to such radiation felt any ill effects, test the null hypothesis θ = 0.30 against the alternative hypothesis θ < 0.30 at the 0.05 level of significance.