Question

1. The City of Bentonville is planning to hire 15 new firefighters in 2021. A battery of tests has been carefully developed and validated to use for selecting the new firefighters. The ability to perform various physical tasks, such as pulling a hose while wearing protective equipment and carrying people out of a building, is essential to performing the job of a firefighter.

   Historically, female applicants have a much lower pass rate than male applicants on the physical exam. FireSelects, Inc. is developing a new program designed to prepare female applicants to take the physical ability portion of the exam, and would like to test their belief that women who complete their program have a higher pass rate compared to those who do not complete the program.

   To test the effectiveness of their new program, a sample of 80 female applicants is recruited. Half of the women are randomly assigned to the training program and the other half are not provided with training. After the training program was completed, applicants completed the physical ability test. Their results (1=fail; 2=pass) were recorded. A partial data set is provided below.

   Training Program	No Training
   2	2
   1	1
   1	1
   2	1
   2	1
   1	2
   1	1
   …	…

   Which of the following hypotheses are being tested?

   		H0: µD (train- notrain) = 0 H1: µD (train – notrain) > 0
   		H0: πtrain –πno train = 0 H1: πtrain – πno train < 0
   		H0: µD (train- notrain) = 0 H1: µD (train – notrain) < 0
   		H0: πtrain –πno train = 0 H1: πtrain – πno train > 0

Answer 1

would like to test their belief that women who complete their program have a higher pass rate compared to those who do not complete the program. ( We are computing the mean difference)

so,

H0: µD (train- notrain) = 0 H1: µD (train – notrain) > 0