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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Refer to Exercise 7.97.a. If = 575 instead of 550, what is

Chapter 7, Problem 98E

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QUESTION:

Problem 98E

Refer to Exercise 7.97.

a. If  = 575 instead of 550, what is the probability that the hypothesis test will incorrectly fail to reject H0? That is, what is b?

b. If  = 575, what is the probability that the test will correctly reject the null hypothesis? That is, what is the power of the test?

c. Compare b and the power of the test when  = 575 to the values you obtained in Exercise 7.97 for  = 550. Explain the differences.

Questions & Answers

QUESTION:

Problem 98E

Refer to Exercise 7.97.

a. If  = 575 instead of 550, what is the probability that the hypothesis test will incorrectly fail to reject H0? That is, what is b?

b. If  = 575, what is the probability that the test will correctly reject the null hypothesis? That is, what is the power of the test?

c. Compare b and the power of the test when  = 575 to the values you obtained in Exercise 7.97 for  = 550. Explain the differences.

ANSWER:

Solution

Step 1 of 3

From the exercise we are testing

And

       

       

       

a) We have to find the probability that the test is incorrectly fail to reject H0 when

Here we have to find

                                      =

                                     

                                     =0.0174

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