In: Statistics and Probability
Your foreman claims that tree planting is a job for young people. He further claims that 3/4 of tree planters are below the age of 21. You think he's exaggerating and the proportion of tree planters under 21 is not nearly that high. You gain access to a page from the personnel files that has the birthdates for 50 tree planters and count 32 who are under 21. Do you have enough evidence (at α=.05) to conclude that your foreman is wrong and that the proportion of tree planters under 21 is less than 3/4?