Historically, 6% of batteries from a production line fail a capacity check. After a machine is serviced, the engineer believes that the failure proportion has decreased. Let p p\,p be the population proportion that fail after the service.
Identify the correct pair of hypotheses for a test of Angela's belief.
Tick one box.
H0H_0H0: p=0.06p = 0.06p=0.06, H1H_1H1: p≠0.06p \ne 0.06p=0.06
H0H_0H0: p=0.06p = 0.06p=0.06, H1H_1H1: p<0.06p < 0.06p<0.06
H0H_0H0: p<0.06p < 0.06p<0.06, H1H_1H1: p=0.06p = 0.06p=0.06
H0H_0H0: p=0.06p = 0.06p=0.06, H1H_1H1: p>0.06p > 0.06p>0.06