Question

In: Statistics and Probability

You perform a hypothesis test on the claim that the volume in all 12-ounce cans of...

You perform a hypothesis test on the claim that the volume in all 12-ounce cans of Fizzy Pop is less than 12 ounces. In terms of the possible conclusions of this hypothesis test, choose the appropriate description of a Type I and Type II error.

(a) If you make a Type I error, then which of the following is true?

You conclude that the mean volume is 12 ounces when it isn't.

You conclude the mean volume in all cans is less than 12 ounces when that is not true.     

You don't conclude the mean volume in all cans is less than 12 ounces when in fact, the mean volume is less than 12 ounces.


(b) A Type II error occurs when which of the following is true?

You conclude the mean volume in all cans is less than 12 ounces when that is not true.

You don't conclude the mean volume in all cans is less than 12 ounces when in fact, the mean volume is less than 12 ounces.    

You conclude that the mean volume is 12 ounces when it isn't.


(c) What is the probability of a Type I error if the significance level is α?

α
1 − 2α    
1 − α
2α

Solutions

Expert Solution

Answer:

Given that:

You perform a hypothesis test on the claim that the volume in all 12-ounce cans of Fizzy Pop is less than 12 ounces.

We make type I error,when we reject ,but in fact, is true.

We make type II error,when we fail to reject ,but in fact,  is false

a) If you make a Type I error, then which of the following is true?

You conclude the mean volume In all cans Is less than 12 ounces when that Is not true.

b) A Type II error occurs when which of the following is true?

You conclude that the mean volume Is 12 ounces when It Isn't.

c) What is the probability of a Type I error if the significance level is α?

P(type I error)=alpha

Correct option is:

orchestra answered 1 year ago
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