Using & = 0.02, compute the probability of a Type Il error occurring if the actual average wait time per call is 1,333 seconds.
The probability is
(Round to three decimal places as needed.)
The average wait time on the phone for taxpayers calling a tax agency in 2015 was 1,422 seconds. Suppose the tax agency made operational changes in an effort to reduce wait times. To test the effectiveness of these changes, a random sample of 57 phone calls was selected and the wait time of each call was recorded. Assume the standard deviation for the wait time is 250 seconds. Complete parts a through d.
a. Explain how Type I and Type II errors can occur in this hypothesis test
Explain how a Type I error can occur. Choose the correct answer below.
O A.The average wait time is less than 1,422 seconds,but based on the sample it is incorrectly concluded that the average wait time is greater than or equal to 1,422 seconds B.The average wait time is greater than or equal to 1,422 seconds, but based on the sample it is incorrectly concluded that the average wait time is less than 1.422 seconds. O C. The average wait time has changed from 1,422 seconds,but based on the sample it is incorrectly concluded that the average wait time has not changed from 1,422 seconds O D. The average wait time is equal to 1,422 seconds,but based on the sample it is incorrectly concluded that the average wait time has changed from 1,422 seconds
Explain how a Type Il error can occur. Choose the correct answer below.
A.The average wait time is greater than or equal to 1,422 seconds, but based on the sample it is incorrectly concluded that the average wait time is less than 1,422 seconds. B.The average wait time is less than 1,422 seconds, but based on the sample it is incorrectly concluded that the average wait time is greater than or equal to 1,422 seconds. O C.The average wait time isequal to 1,422 seconds,but based on the sample it is incorrectly concluded that the average wait time has changed from 1,422 seconds. O D. The average wait time has changed from 1,422 seconds,but based on the sample it is incorrectly concluded that the average wait time has not changed from 1,422 seconds. b.Using a=0.02,compute the probability of a Type Il error occurring if the actual average wait time per call is 1,333 seconds.
The probability is (Round to three decimal places as needed.)
