Answered

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For the given scenario, determine the type of error that was made, if any.

A new whitening toothpaste advertises four shades as the mean number of shades the toothpaste whitens your teeth. One user claims that the mean number of shades the toothpaste whitens your teeth is less than four shades. The user conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean number of shades the toothpaste whitens your teeth is three shades. Was an error made? If so, what type?

a. yes type I error
b. yes type II error
c. no correct decison

Sagot :

akiran007

Answer:

b. yes type II error

Step-by-step explanation:

When the null hypothesis is false as is in this case and it is accepted so the decision made is wrong. This is a type II error.

When we accept the null hypothesis when actually it is false it is called a type II error.

In reality, the mean number of shades the toothpaste that whitens the teeth is three shades.

Where as the null hypothesis was that the four shades  are taken as the mean number of shades the toothpaste whitens the teeth.

Therefore as the null hypothesis which is actually false is accepted so a wrong decision is made a type II error is made.

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