Mathematics, 19.05.2021 18:20 harleymichaelbp74jsq
A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine were found defective. Do the data support the hypothesis that the defect rate of the machine is smaller than 3%, at the 5% significance level?
H0:p≥0.03
Ha:p<0.03
α=0.05
Critical value z=−1.645
Reject H0 if z<−1.645
Test statistic
⇒Z0=X¯¯¯¯¯−μoσ/n√=>0.0467−0.030. 03∗0.97/600√=14.057
Therefore, we fail to reject H0. There isn't enough evidence to say that defect rate of machine is smaller than 3%.
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