A contract between a food chain and a supplier states that only 5% of the apples delivered by the supplier are allowed to be rotten. The food chain suspects that the supplier is breaking the contract and tests 200 apples. The food chain wants to test at significance level at most 1% the hypothesis Ho : The fraction of delivered apples that are rotten is 0.05, against

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A contract between a food chain and a supplier states that only 5% of the apples delivered by the
supplier are allowed to be rotten. The food chain suspects that the supplier is breaking the contract
and tests 200 apples. The food chain wants to test at significance level at most 1% the hypothesis
Ho : The fraction of delivered apples that are rotten is 0.05, against
Hị : The fraction of delivered apples that are rotten is q, q > 0.05.
Much later, it is found out that 10% of the delivered apples by the supplier were rotten. Calculate
the probability of a type II error of the test performed by the food chain.
Hint: As a first step, determine the critical region of the test. To determine the respective probabilities,
you can use freely available binomial calculators online, see for instance:
Transcribed Image Text:A contract between a food chain and a supplier states that only 5% of the apples delivered by the supplier are allowed to be rotten. The food chain suspects that the supplier is breaking the contract and tests 200 apples. The food chain wants to test at significance level at most 1% the hypothesis Ho : The fraction of delivered apples that are rotten is 0.05, against Hị : The fraction of delivered apples that are rotten is q, q > 0.05. Much later, it is found out that 10% of the delivered apples by the supplier were rotten. Calculate the probability of a type II error of the test performed by the food chain. Hint: As a first step, determine the critical region of the test. To determine the respective probabilities, you can use freely available binomial calculators online, see for instance:
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