Question

Assembly workers at Coastal Computers Inc. assemble just one or two subassemblies and insert them in a frame. The executives at CC think that the employees would have more pride in their work if they assembled all of the subassemblies and tested the complete computer. A sample of 31 employees was selected to experiment with the idea. After a training program, each was asked his or her preference. Twenty two liked assembling the entire unit and testing it. At the 0.025 level, can we conclude the employees preferred assembling the entire unit? (Round your answer to 2 decimal places.) H0: π ≤ 0.50 H1: π > 0.50 Reject H0 if z > 1.96

Answer 1

Sample proportion = 22 / 31 = 0.7097

Test statistics

z = ( - ) / sqrt [ ( 1 - ) / n ]

= ( 0.7097 - 0.50) / sqrt( 0.50 * 0.50 / 31)

= 2.34

Rejection rule = Reject H0 if z > 1.96

Since Test statistics value falls in rejection region, Reject H0.

We have sufficient evidence to support the claim that the employees would have more pride in their

work if they assembled all of the subassemblies and tested the complete computer.