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

Question

3 years ago

9

these data provide convincing evidence that the true proportion of adults who enjoy reading for fun is less than that of teenagers

1 answer:

Savatey [412] · Answer 1 · 2022-04-28T06:48:17+03:00

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.