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An airline wants to test the null hypothesis that at least 60% of their customers like...

An airline wants to test the null hypothesis that at least 60% of their customers like the selection of online snacks. They will collect data from a random sample of customers and reject the null hypothesis if at most 53% of the customers in the random sample like the airline’s selection of snacks.

(1) What conditions would lead to a type I error?

(2) What conditions would lead to a type II error?

Math   Statistics-And-Probability   
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Answer #1

Ans:

1)

We will make type I error,when we conclude that less than 60% of their customers like the selection of online snacks,but in fact,at least 60% of their customers like the selection of online snacks.

(as type I error is to reject the null hypothesis,when null hypothesis is true)

2)

We will make type II error,when we conclude that at least 60% of their customers like the selection of online snacks,but in fact,less than 60% of their customers like the selection of online snacks.

(as type II error is to fail to reject the null hypothesis,when null hypothesis is false)

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