The experiment we just used to perform a hypothesis test was designed to mimic the experiment from the original study, yet the original study yielded significant results while this study did not. If young adults really dowant to talk more with their parents after thinking about mortality, did our analysis make a Type I error, a Type II error, or no error at all

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Clarissa Sexton

Mathematics

4 March, 06:22

The experiment we just used to perform a hypothesis test was designed to mimic the experiment from the original study, yet the original study yielded significant results while this study did not. If young adults really dowant to talk more with their parents after thinking about mortality, did our analysis make a Type I error, a Type II error, or no error at all

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Armando Landry · Answer 1

The analysis makes a type II error.

Step-by-step explanation:

A null hypothesis is a hypothesis of no difference. It is symbolized by H₀.

A Type I error is the rejection of H₀ when indeed the H₀ is true. It is symbolized by α.

A Type II error is failing to discard a H₀ when indeed the H₀ is false. It is symbolized by β.

And when we do not discard the H₀ when indeed the H₀ is true this implies that a correct decision is made and no error has occurred.

A statistically significant result implies that the null hypothesis is rejected.

It is provided that the original study yielded significant results while this study did not.

This implies that originally the null hypothesis was rejected. But when the study was conducted the results indicated that the null hypothesis is not false.

The study thus accepted a false null hypothesis.

That is, a type II error was committed.

Thus, the analysis makes a type II error.