Question

In a random sample of 40 teenagers, 18 enjoy reading for fun, and in a random sample of 40 adults, 12 enjoy reading for fun. Do these data provide convincing evidence that the true proportion of adults who enjoy reading for fun is less than that of teenagers

Answer 1

Answer: Yes. The data provides convincing evidence.

Step-by-step explanation:

In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:

= 18/40 × 100

= 45%

In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:

= 12/40 × 100

= 30%

Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.