Answer:
c. 0.088
Step-by-step explanation:
Let p(s) be the proportion of apples defected in the sample. The probability that p(s)<0.05 can be calculated by calculating z statistic of 0.05:
where
- p(s) = 0.05
- p is the proportion of the apples in fact defected (0.08)
- N is the sample size (150) Then,
z(0.05)=
And P(z<-1.354)≈0.0879
Therefore the probability that a random sample of 150 among 8% defected apples can be accepted is 0.088.