A researcher claims that 5% of people who wear eyeglasses purchase their eyeglasses online. Describe type...

A researcher claims that 5% of people who wear eyeglasses purchase their eyeglasses online. Describe type I and type II errors for a hypothesis test of the claim.

Expert Solution

For this test, the correct set of hypotheses would be:

Null Hypothesis: Among the people who wear eyeglasses the percentage of them purchasing their eyeglasses online is 5%

Alternative Hypothesis: Among the people who wear eyeglasses the percentage of them purchasing their eyeglasses online is different from 5%

Type I Error: Rejecting the null hypothesis when actually it is true

In the given scenario, the type I error will be - concluding that people who wear eyeglasses, the percentage of them purchasing their eyeglasses online is different from 5% when actually the percentage purchasing their eyeglasses online is 5%.

Type II Error: Accepting the null hypothesis when actually it is false

In the given scenario, the type II error will be - concluding that people who wear eyeglasses, the percentage of them purchasing their eyeglasses online is 5% when actually the percentage purchasing their eyeglasses online is different from 5%.

orchestra answered 1 year ago

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