26.  Mothers Working Outside the Home Accord- ing to a recent survey, 59% of Americans aged 8 to

17 would prefer that their mother work outside the home, regardless of what she does now. A school district psychologist decided to select three samples of 60 students each in elementary, middle, and high school to see how the students in her district felt about the issue. At a = 0.10, test the claim that the

 

Yes (favor) 10 15 20 22 proportions of the students w No 40 35 30 28 mother have a job are equal.   Â

ho prefer that their

 

 

23.  Youth Physical Fitness  According to a recent         Elementary    Middle    High

 

 

 

 

 

survey, 64% of Americans between the ages of 6 and Prefers mother work 29   38   51 17 cannot pass a basic fitness test. A physical education Prefers mother not work 31   22   9   Â

instructor wishes to determine if the percentages of such students in different schools in his school district are the same. He administers a basic fitness test to 120 students in each of four schools. The results are shown here. At a = 0.05, test the claim that the proportions who pass the test are equal.

Southside   West End   East Hills   Jefferson

Passed            49                38                46               34

Failed           71                82                74                86 Total  120         120         120                          120

Source: The Harper’s Index Book.