High School

We appreciate your visit to The mean consumption of fruit three years ago was 98 2 pounds A dietician believes that fruit consumption has risen since then Suppose in fact. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The mean consumption of fruit three years ago was 98.2 pounds. A dietician believes that fruit consumption has risen since then. Suppose, in​ fact, the mean consumtion of fruits is 98.2 pounds. Did the researcher commit a type I or type II error? a) The researcher committed a type I error because he rejected the null hypothesis when it was true. b) The researcher committed a type II error because he accepted the alternative hypothesis when the null hypothesis was true. c) The researcher committed a type I error because he accepted the alternative hypothesis when the null hypothesis was true. d) The researcher committed a type II error because he rejected the null hypothesis when it was true.

Answer :

Final answer:

The dietitian has committed a Type I error because he has wrongly rejected the null hypothesis in favor of the alternative hypothesis, assuming that fruit consumption has increased when it hasn't really changed.

Explanation:

In the given problem, the dietitian has made a prediction that fruit consumption has increased when in fact it hasn't. In the context of hypothesis testing, this can be interpreted as the dietitian erroneously rejecting the null hypothesis (that fruit consumption has remained the same) in favor of the alternative hypothesis (that it's increased). This mistake is classified as a Type I error.

Therefore, the correct answer is 'The researcher committed a Type I error because he rejected the null hypothesis when it was true'. This is not a Type II error because in a Type II error, the researcher incorrectly accepts the null hypothesis when in reality, the alternative hypothesis is true.

Learn more about Type I error here:

https://brainly.com/question/37169382

#SPJ11

Thanks for taking the time to read The mean consumption of fruit three years ago was 98 2 pounds A dietician believes that fruit consumption has risen since then Suppose in fact. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada