Question

9.A game show producer asked 100 randomly selected adults, “Have you ever bungee jumped?” Of the adults surveyed, 14 said “Yes!” Is there convincing statistical evidence that the true proportion of all adults that have bungee jumped is more than 10%?
(A)No, because the difference between the sample proportion and the population proportion is only 0.04, which is not greater than 0.05.
(B)No, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.
(C)Yes, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.
(D)Yes, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is less than 0.05.
(E)Yes, because the difference between the sample proportion and the population proportion is 0.04, which is less than 0.05.​

Answer 1

Answer: B.

Explanation: No, Because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.