Question

We are testing to see if there is evidence that the proportion of students who take...

We are testing to see if there is evidence that the proportion of students who take pizza weekly is greater than 40%.

  1. What does it mean to make a Type I error in this situation?
  2. What does it mean to make a Type II error in this situation?
Math   Statistics-And-Probability   
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Answer #1

Here the null and alternate hypothesis are

H0: p = 0.4

Ha: p > 0.4

a) Type I error occurs when one incorrectly rejects the null hypothesis

Here, if the conclusion is made that the proportion is greater than 40% however in actual it is not. This results into type I error

b) Type II error occurs when one incorrectly fails to reject the null hypothesis

Here, if the conclusion is made that the proportion is not greater than 40% however in actual it is. This results into type II error

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