(14) It is claimed that in a bushel of peaches, less than 10% are defective. A...

(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?

Solutions

Expert Solution

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.

orchestra answered 1 year ago

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