Question

1. from the table, determine if being a science teacher is independent of gender (male or female) in the school where this data came from. justify your answer.

	male	female
other teacher	25	50

Explanation:

Step1: Calculate total teachers

Total = (16 + 8 + 50 + 25)=99

Step2: Calculate probabilities

P(Science)=$\frac{16 + 8}{99}=\frac{24}{99}$, P(Female)=$\frac{16+50}{99}=\frac{66}{99}$, P(Science and Female)=$\frac{16}{99}$

Step3: Check independence

P(Science)×P(Female)=$\frac{24}{99}\times\frac{66}{99}=\frac{1584}{9801}
eq\frac{16}{99}$

Answer:

Being a science teacher and gender are not independent.