A recent survey suggests 30% of boat owners do not regularly use their boat after the second year of ownership.A local boat dealer wants to test the alternative hypothesis that p ≠ .30 with α = .05.He surveys 60 boat owners and finds 42% of the owners who have owned their boat for three years report they do not regularly use their boat.Assuming that p = .35, the probability of type II error is approximately ________.
A)0.8542
B)0.1458
C)0.3577
D)0.1423
E)0.4965

Question

Quizplus · Accepted Answer

The probability of a type II error (β) is the probability of failing to reject the null hypothesis when it is false. Given p = 0.35, the calculation involves finding the probability that the sample proportion falls within the acceptance region when the true proportion is 0.35. The correct choice is 0.8542.

A Recent Survey Suggests 30% of Boat Owners Do Not