Question

A restaurant in a certain state is under new management. While under the previous​ management, 15 ​% of the customers rated their dining experiences as​ "unsatisfactory." The​ restaurant's current managers would like to test their belief that this percentage is now lower due to new training procedures. Suppose 77 customers were randomly chosen and asked to rate their dining experiences. Using alpha = 0.05.

Calculate the probability of a Type II error occurring if the actual proportion of unsatisfied customers is 6​%.....

Answer 1

To test against

At 5% level of significance,

The rejection region is :

Now,

P(Type II Error)

= P( Accept H₀ when H₀ is false)

= 1 - P( Reject H₀ when H₀ is false)