In: Statistics and Probability
(14) It is claimed that in a bushel of peaches, less than 10% are defective. A sample of 100 peaches is examined and 12 are found to be defective. If α =0.05, what will be the decision?
Null hypothesis
Alternative hypothesis
We have for given example,
Population proportion value is =0.1
x=12
n=100
Level of significance = 0.05
Estimate for sample proportion = 0.12
Z test statistic formula for proportion
=0.67
P value is 0.7475.................by using Excel command NORMSDIST(0.67) or by using Z table.
P value is 0.7475 > 0.05
Therefore, we fail to reject H0.
We do not have sufficient evidence at to say
that , in a bushel of peaches, less than 10% are
defective.